diff --git a/src/remake.jl b/src/remake.jl
index 4a0f1726b..0741bd3bd 100644
--- a/src/remake.jl
+++ b/src/remake.jl
@@ -1075,7 +1075,34 @@ function updated_u0_p(
         return (u0 === missing ? state_values(prob) : u0),
         (p === missing ? parameter_values(prob) : p)
     end
-    return _updated_u0_p_internal(prob, u0, p, t0; interpret_symbolicmap, use_defaults)
+    newu0, newp = _updated_u0_p_internal(prob, u0, p, t0; interpret_symbolicmap, use_defaults)
+    return late_binding_update_u0_p(prob, u0, p, t0, newu0, newp)
+end
+
+"""
+    $(TYPEDSIGNATURES)
+
+A function to perform custom modifications to `newu0` and/or `newp` after they have been
+constructed in `remake`. `root_indp` is the innermost index provider found by recursively
+calling `SymbolicIndexingInterface.symbolic_container`, provided for dispatch. Returns
+the updated `newu0` and `newp`.
+"""
+function late_binding_update_u0_p(prob, root_indp, u0, p, t0, newu0, newp)
+    return newu0, newp
+end
+
+"""
+    $(TYPEDSIGNATURES)
+
+Calls `late_binding_update_u0_p(prob, root_indp, u0, p, t0, newu0, newp)` after finding
+`root_indp`.
+"""
+function late_binding_update_u0_p(prob, u0, p, t0, newu0, newp)
+    root_indp = prob
+    while hasmethod(symbolic_container, Tuple{typeof(root_indp)}) && (sc = symbolic_container(root_indp)) !== root_indp
+        root_indp = sc
+    end
+    return late_binding_update_u0_p(prob, root_indp, u0, p, t0, newu0, newp)
 end
 
 # overloaded in MTK to intercept symbolic remake
diff --git a/test/remake_tests.jl b/test/remake_tests.jl
index 4af29623e..7b89d3460 100644
--- a/test/remake_tests.jl
+++ b/test/remake_tests.jl
@@ -83,6 +83,11 @@ for T in containerTypes
     push!(probs, NonlinearLeastSquaresProblem(fn, u0, T(p)))
 end
 
+# temporary definition to test this functionality
+function SciMLBase.late_binding_update_u0_p(prob, u0, p::SciMLBase.NullParameters, t0, newu0, newp)
+    return newu0, ones(3)
+end
+
 for prob in deepcopy(probs)
     prob2 = @inferred remake(prob)
     @test prob2.u0 == u0
@@ -274,8 +279,15 @@ for prob in deepcopy(probs)
         end
         ForwardDiff.derivative(fakeloss!, 1.0)
     end
+
+    # test late_binding_update_u0_p
+    prob2 = remake(prob; p = SciMLBase.NullParameters())
+    @test prob2.p ≈ ones(3)
 end
 
+# delete the method defined here to prevent breaking other tests
+Base.delete_method(only(methods(SciMLBase.late_binding_update_u0_p, @__MODULE__)))
+
 # eltype(()) <: Pair, so ensure that this doesn't error
 function lorenz!(du, u, _, t)
     du[1] = 1 * (u[2] - u[1])