diff --git a/src/remake.jl b/src/remake.jl
index cc826636d..a5c50b967 100644
--- a/src/remake.jl
+++ b/src/remake.jl
@@ -97,26 +97,29 @@ function remake(prob::ODEProblem; f = missing,
         tspan = prob.tspan
     end
 
-    u0, p = updated_u0_p(prob, u0, p; interpret_symbolicmap, use_defaults)
+    newu0, newp = updated_u0_p(prob, u0, p; interpret_symbolicmap, use_defaults)
 
     iip = isinplace(prob)
 
     if f === missing
+        initializeprob, initializeprobmap = remake_initializeprob(prob.f.sys, prob.f, u0 === missing ? newu0 : u0, tspan[1], p === missing ? newp : p)
         if specialization(prob.f) === FunctionWrapperSpecialize
             ptspan = promote_tspan(tspan)
             if iip
                 _f = ODEFunction{iip, FunctionWrapperSpecialize}(wrapfun_iip(
                     unwrapped_f(prob.f.f),
-                    (u0, u0, p,
-                        ptspan[1])))
+                    (newu0, newu0, newp,
+                        ptspan[1])); initializeprob, initializeprobmap)
             else
                 _f = ODEFunction{iip, FunctionWrapperSpecialize}(wrapfun_oop(
                     unwrapped_f(prob.f.f),
-                    (u0, p,
-                        ptspan[1])))
+                    (newu0, newp,
+                        ptspan[1])); initializeprob, initializeprobmap)
             end
         else
             _f = prob.f
+            @reset _f.initializeprob = initializeprob
+            @reset _f.initializeprobmap = initializeprobmap
         end
     elseif f isa AbstractODEFunction
         _f = f
@@ -124,22 +127,37 @@ function remake(prob::ODEProblem; f = missing,
         ptspan = promote_tspan(tspan)
         if iip
             _f = ODEFunction{iip, FunctionWrapperSpecialize}(wrapfun_iip(f,
-                (u0, u0, p,
+                (newu0, newu0, newp,
                     ptspan[1])))
         else
             _f = ODEFunction{iip, FunctionWrapperSpecialize}(wrapfun_oop(f,
-                (u0, p, ptspan[1])))
+                (newu0, newp, ptspan[1])))
         end
     else
         _f = ODEFunction{isinplace(prob), specialization(prob.f)}(f)
     end
 
     if kwargs === missing
-        ODEProblem{isinplace(prob)}(_f, u0, tspan, p, prob.problem_type; prob.kwargs...,
+        ODEProblem{isinplace(prob)}(_f, newu0, tspan, newp, prob.problem_type; prob.kwargs...,
             _kwargs...)
     else
-        ODEProblem{isinplace(prob)}(_f, u0, tspan, p, prob.problem_type; kwargs...)
+        ODEProblem{isinplace(prob)}(_f, newu0, tspan, newp, prob.problem_type; kwargs...)
+    end
+end
+
+"""
+    remake_initializeprob(sys, scimlfn, u0, t0, p)
+
+Re-create the initialization problem present in the function `scimlfn`, using the
+associated system `sys`, and the new values of `u0`, initial time `t0` and `p`. By
+default, returns `nothing, nothing` if `scimlfn` does not have an initialization
+problem, and `scimlfn.initializeprob, scimlfn.initializeprobmap` if it does.
+"""
+function remake_initializeprob(sys, scimlfn, u0, t0, p)
+    if !has_initializeprob(scimlfn)
+        return nothing, nothing
     end
+    return scimlfn.initializeprob, scimlfn.initializeprobmap
 end
 
 """