diff --git a/compiler/rustc_next_trait_solver/src/canonical/mod.rs b/compiler/rustc_next_trait_solver/src/canonical/mod.rs
index 4eea0f2c2198d..93fe61422968d 100644
--- a/compiler/rustc_next_trait_solver/src/canonical/mod.rs
+++ b/compiler/rustc_next_trait_solver/src/canonical/mod.rs
@@ -10,6 +10,7 @@
 //! [c]: https://rustc-dev-guide.rust-lang.org/solve/canonicalization.html
 
 use std::iter;
+use std::marker::PhantomData;
 
 use canonicalizer::Canonicalizer;
 use rustc_index::IndexVec;
@@ -17,7 +18,7 @@ use rustc_type_ir::inherent::*;
 use rustc_type_ir::relate::solver_relating::RelateExt;
 use rustc_type_ir::{
     self as ty, Canonical, CanonicalVarKind, CanonicalVarValues, InferCtxtLike, Interner,
-    TypeFoldable, TypingMode, TypingModeEqWrapper,
+    TypeFoldable, TypeSuperVisitable, TypeVisitable, TypeVisitor, TypingMode, TypingModeEqWrapper,
 };
 use tracing::instrument;
 
@@ -144,12 +145,29 @@ where
     // FIXME: Longterm canonical queries should deal with all placeholders
     // created inside of the query directly instead of returning them to the
     // caller.
-    let prev_universe = delegate.universe();
-    let universes_created_in_query = response.max_universe.index();
-    for _ in 0..universes_created_in_query {
-        delegate.create_next_universe();
-    }
+    let prev_universe = create_universes_for_response(delegate, response);
+
+    compute_query_response_instantiation_values_in_universe(
+        delegate,
+        original_values,
+        response,
+        span,
+        prev_universe,
+    )
+}
 
+fn compute_query_response_instantiation_values_in_universe<D, I, T>(
+    delegate: &D,
+    original_values: &[I::GenericArg],
+    response: &Canonical<I, T>,
+    span: I::Span,
+    prev_universe: ty::UniverseIndex,
+) -> CanonicalVarValues<I>
+where
+    D: SolverDelegate<Interner = I>,
+    I: Interner,
+    T: ResponseT<I>,
+{
     let var_values = response.value.var_values();
     assert_eq!(original_values.len(), var_values.len());
 
@@ -233,6 +251,109 @@ where
     })
 }
 
+fn create_universes_for_response<D, I, T>(
+    delegate: &D,
+    response: &Canonical<I, T>,
+) -> ty::UniverseIndex
+where
+    D: SolverDelegate<Interner = I>,
+    I: Interner,
+{
+    let prev_universe = delegate.universe();
+    let universes_created_in_query = response.max_universe.index();
+    for _ in 0..universes_created_in_query {
+        delegate.create_next_universe();
+    }
+    prev_universe
+}
+
+fn max_input_universe_for_replay<D, I>(
+    delegate: &D,
+    orig_values: &[I::GenericArg],
+) -> ty::UniverseIndex
+where
+    D: SolverDelegate<Interner = I>,
+    I: Interner,
+{
+    struct MaxUniverseVisitor<'a, D, I> {
+        delegate: &'a D,
+        max_universe: ty::UniverseIndex,
+        _interner: PhantomData<I>,
+    }
+
+    impl<D, I> TypeVisitor<I> for MaxUniverseVisitor<'_, D, I>
+    where
+        D: SolverDelegate<Interner = I>,
+        I: Interner,
+    {
+        type Result = ();
+
+        fn visit_ty(&mut self, t: I::Ty) -> Self::Result {
+            match t.kind() {
+                ty::Placeholder(placeholder) => {
+                    self.max_universe = self.max_universe.max(placeholder.universe());
+                }
+                ty::Infer(ty::TyVar(vid)) => {
+                    if let Some(universe) = self.delegate.universe_of_ty(vid) {
+                        self.max_universe = self.max_universe.max(universe);
+                    }
+                }
+                _ => {}
+            }
+            t.super_visit_with(self)
+        }
+
+        fn visit_region(&mut self, r: I::Region) -> Self::Result {
+            match r.kind() {
+                ty::RePlaceholder(placeholder) => {
+                    self.max_universe = self.max_universe.max(placeholder.universe());
+                }
+                ty::ReVar(vid) => {
+                    if let Some(universe) = self.delegate.universe_of_lt(vid) {
+                        self.max_universe = self.max_universe.max(universe);
+                    }
+                }
+                _ => {}
+            }
+        }
+
+        fn visit_const(&mut self, c: I::Const) -> Self::Result {
+            match c.kind() {
+                ty::ConstKind::Placeholder(placeholder) => {
+                    self.max_universe = self.max_universe.max(placeholder.universe());
+                }
+                ty::ConstKind::Infer(ty::InferConst::Var(vid)) => {
+                    if let Some(universe) = self.delegate.universe_of_ct(vid) {
+                        self.max_universe = self.max_universe.max(universe);
+                    }
+                }
+                _ => {}
+            }
+            c.super_visit_with(self)
+        }
+    }
+
+    let mut visitor = MaxUniverseVisitor {
+        delegate,
+        max_universe: ty::UniverseIndex::ROOT,
+        _interner: PhantomData,
+    };
+    for value in orig_values {
+        value.visit_with(&mut visitor);
+    }
+    visitor.max_universe
+}
+
+fn ensure_universes_through<D, I>(delegate: &D, max_universe: ty::UniverseIndex)
+where
+    D: SolverDelegate<Interner = I>,
+    I: Interner,
+{
+    while delegate.universe() < max_universe {
+        delegate.create_next_universe();
+    }
+}
+
 /// Unify the `original_values` with the `var_values` returned by the canonical query..
 ///
 /// This assumes that this unification will always succeed. This is the case when
@@ -347,14 +468,22 @@ where
 {
     // In case any fresh inference variables have been created between `state`
     // and the previous instantiation, extend `orig_values` for it.
+    let prev_universe = max_input_universe_for_replay(delegate, orig_values);
+    let max_universe = prev_universe + state.max_universe.index();
+    ensure_universes_through(delegate, max_universe);
     orig_values.extend(
         state.value.var_values.var_values.as_slice()[orig_values.len()..]
             .iter()
-            .map(|&arg| delegate.fresh_var_for_kind_with_span(arg, span)),
+            .map(|&arg| delegate.fresh_var_for_kind_in_universe(arg, span, max_universe)),
     );
 
-    let instantiation =
-        compute_query_response_instantiation_values(delegate, orig_values, &state, span);
+    let instantiation = compute_query_response_instantiation_values_in_universe(
+        delegate,
+        orig_values,
+        &state,
+        span,
+        prev_universe,
+    );
 
     let inspect::State { var_values, data } = delegate.instantiate_canonical(state, instantiation);
 
diff --git a/compiler/rustc_next_trait_solver/src/delegate.rs b/compiler/rustc_next_trait_solver/src/delegate.rs
index 8fd7d6d0471c7..c899933895b21 100644
--- a/compiler/rustc_next_trait_solver/src/delegate.rs
+++ b/compiler/rustc_next_trait_solver/src/delegate.rs
@@ -25,10 +25,11 @@ pub trait SolverDelegate: Deref<Target = Self::Infcx> + Sized {
         span: <Self::Interner as Interner>::Span,
     ) -> Option<Certainty>;
 
-    fn fresh_var_for_kind_with_span(
+    fn fresh_var_for_kind_in_universe(
         &self,
         arg: <Self::Interner as Interner>::GenericArg,
         span: <Self::Interner as Interner>::Span,
+        universe: ty::UniverseIndex,
     ) -> <Self::Interner as Interner>::GenericArg;
 
     // FIXME: Uplift the leak check into this crate.
diff --git a/compiler/rustc_trait_selection/src/solve/delegate.rs b/compiler/rustc_trait_selection/src/solve/delegate.rs
index 15762652da141..63341c9d85f1c 100644
--- a/compiler/rustc_trait_selection/src/solve/delegate.rs
+++ b/compiler/rustc_trait_selection/src/solve/delegate.rs
@@ -166,17 +166,18 @@ impl<'tcx> rustc_next_trait_solver::delegate::SolverDelegate for SolverDelegate<
         }
     }
 
-    fn fresh_var_for_kind_with_span(
+    fn fresh_var_for_kind_in_universe(
         &self,
         arg: ty::GenericArg<'tcx>,
         span: Span,
+        universe: ty::UniverseIndex,
     ) -> ty::GenericArg<'tcx> {
         match arg.kind() {
             ty::GenericArgKind::Lifetime(_) => {
-                self.next_region_var(RegionVariableOrigin::Misc(span)).into()
+                self.next_region_var_in_universe(RegionVariableOrigin::Misc(span), universe).into()
             }
-            ty::GenericArgKind::Type(_) => self.next_ty_var(span).into(),
-            ty::GenericArgKind::Const(_) => self.next_const_var(span).into(),
+            ty::GenericArgKind::Type(_) => self.next_ty_var_in_universe(span, universe).into(),
+            ty::GenericArgKind::Const(_) => self.next_const_var_in_universe(span, universe).into(),
         }
     }
 
diff --git a/tests/ui/traits/non_lifetime_binders/foreach-partial-eq-next-solver.rs b/tests/ui/traits/non_lifetime_binders/foreach-partial-eq-next-solver.rs
new file mode 100644
index 0000000000000..a48dd465750c6
--- /dev/null
+++ b/tests/ui/traits/non_lifetime_binders/foreach-partial-eq-next-solver.rs
@@ -0,0 +1,14 @@
+//@ compile-flags: -Znext-solver=globally
+
+#![allow(incomplete_features)]
+#![feature(non_lifetime_binders)]
+
+fn auto_trait()
+where
+    for<T> T: PartialEq + PartialOrd,
+{}
+
+fn main() {
+    auto_trait();
+    //~^ ERROR can't compare `T` with `T`
+}
diff --git a/tests/ui/traits/non_lifetime_binders/foreach-partial-eq-next-solver.stderr b/tests/ui/traits/non_lifetime_binders/foreach-partial-eq-next-solver.stderr
new file mode 100644
index 0000000000000..dc4dedd75c320
--- /dev/null
+++ b/tests/ui/traits/non_lifetime_binders/foreach-partial-eq-next-solver.stderr
@@ -0,0 +1,19 @@
+error[E0277]: can't compare `T` with `T`
+  --> $DIR/foreach-partial-eq-next-solver.rs:12:5
+   |
+LL |     auto_trait();
+   |     ^^^^^^^^^^^^ no implementation for `T < T` and `T > T`
+   |
+   = help: the trait `PartialOrd` is not implemented for `T`
+note: required by a bound in `auto_trait`
+  --> $DIR/foreach-partial-eq-next-solver.rs:8:27
+   |
+LL | fn auto_trait()
+   |    ---------- required by a bound in this function
+LL | where
+LL |     for<T> T: PartialEq + PartialOrd,
+   |                           ^^^^^^^^^^ required by this bound in `auto_trait`
+
+error: aborting due to 1 previous error
+
+For more information about this error, try `rustc --explain E0277`.