The conflict over strategy comes as top House Republicans met Thursday with Trump, who has indicated a preference for a one-bill approach but largely steered clear of the dispute.

Senate Republicans say they'll move forward with their own plan to approve key parts of the Trump agenda beginning next week, amid House delays.

Senate Budget Committee Chairman Lindsey Graham told reporters on Wednesday that he expects to begin marking up a budget resolution that will also direct committees to find offsets for the new spending with hopes of Senate action in coming weeks.