WASHINGTON—Senate Republican leaders left members from both ends of the party unsatisfied with their version of President Trump’s “big, beautiful bill,” touching off a fast round of new negotiations to hit their self-imposed deadline of putting the bill on his desk by July 4.

Senate Republicans on Monday proposed steeper Medicaid cuts than those included in the House-passed version of President Donald Trump’s signature policy bill—making the bill’s passage by the July 4 deadline set by Congressional Republicans even more uncertain as Medicaid cuts have been a major sticking point for some in the GOP.

The Senate Finance Committee on Monday released its version of the GOP’s package that calls for enacting sweeping cuts to Medicaid and preventing a multi-trillion dollar tax hike on Americans.