diff --git a/src/hb-ot-maxp-table.hh b/src/hb-ot-maxp-table.hh
index 3a019ef78..05cbf2ced 100644
--- a/src/hb-ot-maxp-table.hh
+++ b/src/hb-ot-maxp-table.hh
@@ -109,11 +109,24 @@ struct maxp
 
       if (c->plan->flags & HB_SUBSET_FLAGS_NO_HINTING)
 	drop_hint_fields (dest_v1);
+
+      if (c->plan->normalized_coords)
+        instancing_update_fields (c->plan->head_maxp_info, dest_v1);
     }
 
     return_trace (true);
   }
 
+  void instancing_update_fields (head_maxp_info_t& maxp_info, maxpV1Tail* dest_v1) const
+  {
+    dest_v1->maxPoints = maxp_info.maxPoints;
+    dest_v1->maxContours = maxp_info.maxContours;
+    dest_v1->maxCompositePoints = maxp_info.maxCompositePoints;
+    dest_v1->maxCompositeContours = maxp_info.maxCompositeContours;
+    dest_v1->maxComponentElements = maxp_info.maxComponentElements;
+    dest_v1->maxComponentDepth = maxp_info.maxComponentDepth;
+  }
+
   static void drop_hint_fields (maxpV1Tail* dest_v1)
   {
     dest_v1->maxZones = 1;
diff --git a/src/hb-subset.cc b/src/hb-subset.cc
index 0d2e4544d..82df3386f 100644
--- a/src/hb-subset.cc
+++ b/src/hb-subset.cc
@@ -413,6 +413,7 @@ _dependencies_satisfied (hb_subset_plan_t *plan, hb_tag_t tag,
   {
   case HB_OT_TAG_hmtx:
   case HB_OT_TAG_vmtx:
+  case HB_OT_TAG_maxp:
     return !plan->normalized_coords || !pending_subset_tags.has (HB_OT_TAG_glyf);
   default:
     return true;