diff --git a/e2e_test/udf/sql_udf.slt b/e2e_test/udf/sql_udf.slt
index f2e3b2bfd528..bfae0f704588 100644
--- a/e2e_test/udf/sql_udf.slt
+++ b/e2e_test/udf/sql_udf.slt
@@ -209,8 +209,13 @@ select add_named(a, b) from t3 order by a asc;
 ################################
 
 # Mixed parameter with calling inner sql udfs
-# statement ok
-# create function add_sub_mix_wrapper(INT, a INT, INT) returns int language sql as 'select add($1, a) + a + sub(a, $3)';
+statement ok
+create function add_sub_mix_wrapper(INT, a INT, INT) returns int language sql as 'select add($1, a) + a + sub(a, $3)';
+
+query I
+select add_sub_mix_wrapper(1, 2, 3);
+----
+4
 
 # Named sql udf with corner case
 statement ok
@@ -404,6 +409,9 @@ drop function add_named_wrapper;
 statement ok
 drop function type_match;
 
+statement ok
+drop function add_sub_mix_wrapper;
+
 statement ok
 drop table t1;
 
diff --git a/src/frontend/src/binder/expr/column.rs b/src/frontend/src/binder/expr/column.rs
index 9fb17c6e4352..c2fd536c1ccc 100644
--- a/src/frontend/src/binder/expr/column.rs
+++ b/src/frontend/src/binder/expr/column.rs
@@ -45,7 +45,7 @@ impl Binder {
         // to the name of the defined sql udf parameters stored in `udf_context`.
         // If so, we will treat this bind as an special bind, the actual expression
         // stored in `udf_context` will then be bound instead of binding the non-existing column.
-        if self.udf_binding_flag {
+        if self.udf_context.global_count() != 0 {
             if let Some(expr) = self.udf_context.get_expr(&column_name) {
                 return Ok(expr.clone());
             } else {
diff --git a/src/frontend/src/binder/expr/function.rs b/src/frontend/src/binder/expr/function.rs
index 3d2aba906a7d..bb6e4ee14c33 100644
--- a/src/frontend/src/binder/expr/function.rs
+++ b/src/frontend/src/binder/expr/function.rs
@@ -240,12 +240,16 @@ impl Binder {
                 }
 
                 if let Ok(expr) = UdfContext::extract_udf_expression(ast) {
-                    self.set_udf_binding_flag();
                     let bind_result = self.bind_expr(expr);
-                    self.unset_udf_binding_flag();
+
+                    // We should properly decrement global count after a successful binding
+                    // Since the subsequent probe operation in `bind_column` or
+                    // `bind_parameter` relies on global counting
+                    self.udf_context.decr_global_count();
 
                     // Restore context information for subsequent binding
                     self.udf_context.update_context(stashed_udf_context);
+
                     return bind_result;
                 } else {
                     return Err(ErrorCode::InvalidInputSyntax(
diff --git a/src/frontend/src/binder/expr/mod.rs b/src/frontend/src/binder/expr/mod.rs
index 7da1518ceb55..a50eec922143 100644
--- a/src/frontend/src/binder/expr/mod.rs
+++ b/src/frontend/src/binder/expr/mod.rs
@@ -386,11 +386,13 @@ impl Binder {
 
     fn bind_parameter(&mut self, index: u64) -> Result<ExprImpl> {
         // Special check for sql udf
-        // Note: This is specific to anonymous sql udf, since the
+        // Note: This is specific to sql udf with unnamed parameters, since the
         // parameters will be parsed and treated as `Parameter`.
         // For detailed explanation, consider checking `bind_column`.
-        if let Some(expr) = self.udf_context.get_expr(&format!("${index}")) {
-            return Ok(expr.clone());
+        if self.udf_context.global_count() != 0 {
+            if let Some(expr) = self.udf_context.get_expr(&format!("${index}")) {
+                return Ok(expr.clone());
+            }
         }
 
         Ok(Parameter::new(index, self.param_types.clone()).into())
diff --git a/src/frontend/src/binder/mod.rs b/src/frontend/src/binder/mod.rs
index e726d7dc01d4..f1c7d97c57fa 100644
--- a/src/frontend/src/binder/mod.rs
+++ b/src/frontend/src/binder/mod.rs
@@ -122,10 +122,6 @@ pub struct Binder {
 
     /// The sql udf context that will be used during binding phase
     udf_context: UdfContext,
-
-    /// Udf binding flag, used to distinguish between
-    /// columns and named parameters during sql udf binding
-    udf_binding_flag: bool,
 }
 
 #[derive(Clone, Debug, Default)]
@@ -155,6 +151,10 @@ impl UdfContext {
         self.udf_global_counter += 1;
     }
 
+    pub fn decr_global_count(&mut self) {
+        self.udf_global_counter -= 1;
+    }
+
     pub fn _is_empty(&self) -> bool {
         self.udf_param_context.is_empty()
     }
@@ -219,6 +219,8 @@ impl UdfContext {
         Ok(expr)
     }
 
+    /// Create the sql udf context
+    /// used per `bind_function` for sql udf & semantic check at definition time
     pub fn create_udf_context(
         args: &[FunctionArg],
         catalog: &Arc<FunctionCatalog>,
@@ -228,9 +230,10 @@ impl UdfContext {
             match current_arg {
                 FunctionArg::Unnamed(arg) => {
                     let FunctionArgExpr::Expr(e) = arg else {
-                        return Err(
-                            ErrorCode::InvalidInputSyntax("invalid syntax".to_string()).into()
-                        );
+                        return Err(ErrorCode::InvalidInputSyntax(
+                            "expect `FunctionArgExpr` for unnamed argument".to_string(),
+                        )
+                        .into());
                     };
                     if catalog.arg_names[i].is_empty() {
                         ret.insert(format!("${}", i + 1), e.clone());
@@ -240,7 +243,12 @@ impl UdfContext {
                         ret.insert(catalog.arg_names[i].clone(), e.clone());
                     }
                 }
-                _ => return Err(ErrorCode::InvalidInputSyntax("invalid syntax".to_string()).into()),
+                _ => {
+                    return Err(ErrorCode::InvalidInputSyntax(
+                        "expect unnamed argument when creating sql udf context".to_string(),
+                    )
+                    .into())
+                }
             }
         }
         Ok(ret)
@@ -347,7 +355,6 @@ impl Binder {
             included_relations: HashSet::new(),
             param_types: ParameterTypes::new(param_types),
             udf_context: UdfContext::new(),
-            udf_binding_flag: false,
         }
     }
 
@@ -497,14 +504,6 @@ impl Binder {
     pub fn udf_context_mut(&mut self) -> &mut UdfContext {
         &mut self.udf_context
     }
-
-    pub fn set_udf_binding_flag(&mut self) {
-        self.udf_binding_flag = true;
-    }
-
-    pub fn unset_udf_binding_flag(&mut self) {
-        self.udf_binding_flag = false;
-    }
 }
 
 /// The column name stored in [`BindContext`] for a column without an alias.
diff --git a/src/frontend/src/handler/create_sql_function.rs b/src/frontend/src/handler/create_sql_function.rs
index de24027723bb..311664735603 100644
--- a/src/frontend/src/handler/create_sql_function.rs
+++ b/src/frontend/src/handler/create_sql_function.rs
@@ -188,7 +188,9 @@ pub async fn handle_create_sql_function(
                 arg_names.clone(),
             ));
 
-        binder.set_udf_binding_flag();
+        // Need to set the initial global count to 1
+        // otherwise the context will not be probed during the semantic check
+        binder.udf_context_mut().incr_global_count();
 
         if let Ok(expr) = UdfContext::extract_udf_expression(ast) {
             match binder.bind_expr(expr) {
@@ -204,7 +206,7 @@ pub async fn handle_create_sql_function(
                     }
                 }
                 Err(e) => return Err(ErrorCode::InvalidInputSyntax(format!(
-                    "failed to conduct semantic check, please see if you are calling non-existent functions: {}",
+                    "failed to conduct semantic check, please see if you are calling non-existence functions or parameters\ndetailed error message: {}",
                     e.as_report()
                 ))
                 .into()),
@@ -217,8 +219,6 @@ pub async fn handle_create_sql_function(
             )
             .into());
         }
-
-        binder.unset_udf_binding_flag();
     }
 
     // Create the actual function, will be stored in function catalog