diff --git a/k-distribution/include/kframework/builtin/domains.md b/k-distribution/include/kframework/builtin/domains.md
index 43c8fd60ab1..851e0865dca 100644
--- a/k-distribution/include/kframework/builtin/domains.md
+++ b/k-distribution/include/kframework/builtin/domains.md
@@ -3015,6 +3015,7 @@ than the input.
 
 ```k
   syntax {Width1, Width2} MInt{Width1} ::= roundMInt(MInt{Width2}) [function, total, hook(MINT.round)]
+  syntax {Width1, Width2} MInt{Width1} ::= signExtendMInt(MInt{Width2}) [function, total, hook(MINT.sext)]
 ```
 
 ```k
diff --git a/k-distribution/tests/regression-new/mint-llvm-3/Makefile b/k-distribution/tests/regression-new/mint-llvm-3/Makefile
new file mode 100644
index 00000000000..d48aaade4fd
--- /dev/null
+++ b/k-distribution/tests/regression-new/mint-llvm-3/Makefile
@@ -0,0 +1,7 @@
+DEF=test
+EXT=test
+TESTDIR=.
+KOMPILE_BACKEND=llvm
+KOMPILE_FLAGS=--syntax-module TEST
+
+include ../../../include/kframework/ktest.mak
diff --git a/k-distribution/tests/regression-new/mint-llvm-3/test.k b/k-distribution/tests/regression-new/mint-llvm-3/test.k
new file mode 100644
index 00000000000..f522b626f48
--- /dev/null
+++ b/k-distribution/tests/regression-new/mint-llvm-3/test.k
@@ -0,0 +1,19 @@
+module TEST
+  imports BOOL
+  imports MINT
+
+  syntax MInt{64}
+  syntax MInt{32}
+
+  syntax KItem ::= foo(MInt{64})
+
+  syntax MInt{64} ::= m64() [function]
+  rule m64() => 0p64
+  syntax MInt{32} ::= m32() [function]
+  rule m32() => 0p32
+
+  rule foo(X) => .K
+    requires (X +MInt m64()) <=uMInt (roundMInt(m32()) <<MInt 0p64)
+
+  rule true => foo(0p64)
+endmodule
diff --git a/k-frontend/src/main/java/org/kframework/compile/AddSortInjections.java b/k-frontend/src/main/java/org/kframework/compile/AddSortInjections.java
index 45002ce556a..94d7c86394d 100644
--- a/k-frontend/src/main/java/org/kframework/compile/AddSortInjections.java
+++ b/k-frontend/src/main/java/org/kframework/compile/AddSortInjections.java
@@ -501,7 +501,9 @@ private static Sort lub(
         s ->
             mod.subsorts().lessThanEq(s, Sorts.KBott())
                 || mod.subsorts().greaterThan(s, Sorts.K()));
-    if (expectedSort != null && !expectedSort.name().equals(SORTPARAM_NAME)) {
+    if (expectedSort != null
+        && expectedSort.head().params() == 0
+        && !expectedSort.name().equals(SORTPARAM_NAME)) {
       bounds.removeIf(s -> !mod.subsorts().lessThanEq(s, expectedSort));
     }
 
diff --git a/k-frontend/src/main/java/org/kframework/parser/inner/RuleGrammarGenerator.java b/k-frontend/src/main/java/org/kframework/parser/inner/RuleGrammarGenerator.java
index 08162c259f1..cbd9f6d3a1f 100644
--- a/k-frontend/src/main/java/org/kframework/parser/inner/RuleGrammarGenerator.java
+++ b/k-frontend/src/main/java/org/kframework/parser/inner/RuleGrammarGenerator.java
@@ -429,15 +429,6 @@ public static Tuple3<Module, Module, Module> getCombinedGrammarImpl(
         stream(mod.allSorts())
             .filter(s -> (!isParserSort(s) || s.equals(Sorts.KItem()) || s.equals(Sorts.K())))
             .toList();
-    for (SortHead sh : mutable(mod.definedInstantiations()).keySet()) {
-      for (Sort s : mutable(mod.definedInstantiations().apply(sh))) {
-        // syntax MInt{K} ::= MInt{6}
-        Production p1 =
-            Production(
-                Option.empty(), Seq(), Sort(s.name(), Sorts.K()), Seq(NonTerminal(s)), Att.empty());
-        prods.add(p1);
-      }
-    }
     for (Production p : iterable(mod.productions())) {
       if (p.params().nonEmpty()) {
         if (p.params().contains(p.sort())) { // case 1
@@ -634,6 +625,17 @@ public static Tuple3<Module, Module, Module> getCombinedGrammarImpl(
     }
 
     disambProds = new HashSet<>(parseProds);
+
+    for (SortHead sh : mutable(mod.definedInstantiations()).keySet()) {
+      for (Sort s : mutable(mod.definedInstantiations().apply(sh))) {
+        // syntax MInt{K} ::= MInt{6}
+        Production p1 =
+            Production(
+                Option.empty(), Seq(), Sort(s.name(), Sorts.K()), Seq(NonTerminal(s)), Att.empty());
+        parseProds.add(p1);
+      }
+    }
+
     if (mod.importedModuleNames().contains(PROGRAM_LISTS)) {
       Set<Sentence> prods3 = new HashSet<>();
       // if no start symbol has been defined in the configuration, then use K
diff --git a/k-frontend/src/main/java/org/kframework/parser/inner/disambiguation/TypeInferenceVisitor.java b/k-frontend/src/main/java/org/kframework/parser/inner/disambiguation/TypeInferenceVisitor.java
index ca99277fa09..7b261ed90e4 100644
--- a/k-frontend/src/main/java/org/kframework/parser/inner/disambiguation/TypeInferenceVisitor.java
+++ b/k-frontend/src/main/java/org/kframework/parser/inner/disambiguation/TypeInferenceVisitor.java
@@ -230,7 +230,7 @@ public Either<Set<KEMException>, Term> apply(Term term) {
           return typeError(pr, expectedSort, inferred);
         }
         // well typed, so add a cast and return
-        return wrapTermWithCast((Constant) pr, inferred);
+        return wrapTermWithCast(pr, inferred);
       }
       // compute the instantiated production with its sort parameters
       Production substituted = pr.production().substitute(inferencer.getArgs(pr));
@@ -275,12 +275,26 @@ public Either<Set<KEMException>, Term> apply(Term term) {
             j++;
           }
         }
+        if (pr.production().params().nonEmpty() && hasParametricSort(pr.production())) {
+          return wrapTermWithCast(tc, substituted.sort());
+        }
         return Right.apply(tc);
       }
       return Right.apply(pr);
     }
 
-    private Either<Set<KEMException>, Term> wrapTermWithCast(Constant c, Sort declared) {
+    private boolean hasParametricSort(Production prod) {
+      if (prod.sort().head().params() != 0) {
+        return true;
+      }
+      if (stream(prod.nonterminals()).anyMatch(nt -> nt.sort().head().params() != 0)) {
+        return true;
+      }
+      return false;
+    }
+
+    private Either<Set<KEMException>, Term> wrapTermWithCast(
+        ProductionReference pr, Sort declared) {
       if (castContext != CastContext.SEMANTIC) {
         // There isn't an existing :Sort, so add one
         Production cast =
@@ -289,9 +303,10 @@ private Either<Set<KEMException>, Term> wrapTermWithCast(Constant c, Sort declar
                 .productionsFor()
                 .apply(KLabel("#SemanticCastTo" + declared.toString()))
                 .head();
-        return Right.apply(TermCons.apply(ConsPStack.singleton(c), cast, c.location(), c.source()));
+        return Right.apply(
+            TermCons.apply(ConsPStack.singleton(pr), cast, pr.location(), pr.source()));
       }
-      return Right.apply(c);
+      return Right.apply(pr);
     }
   }
 }