Will Republicans and Democrats continue to cut Trump out of key negotiations?

While President Trump and his team celebrated passing legislation on Thursday to repeal and replace Obamacare, Republicans and Democrats also agreed on a $1 trillion-plus budget deal. That deal, however, omitted many of Trump's key agenda items, leading some to question the president's political influence moving forward.

SEE ALSO: Rush Limbaugh grills Mike Pence over budget deal

Democrats touted major victories coming out of budget negotiations, which included continued funding for Planned Parenthood, sanctuary cities and a lack of funding for a border wall on the American-Mexico border.

White House press secretary Sean Spicer said future budget deals will include more of the president's agenda, but leading conservative voices are starting to doubt President Trump's negotiating proficiency -- suggesting perhaps that Thursday's health care victory may have been an exception and not the rule.

Click through images of Donald Trump's return to New York:

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Donald Trump returns to New York
A protester demonstrates near Trump Tower against U.S. President Donald Trump in the Manhattan borough of New York City, U.S. May 4, 2017. REUTERS/Mike Segar
U.S. President Donald Trump (2nd R) and first lady Melania Trump (R) arrive with Australia's Prime Minister Malcolm Turnbull (L) and his wife Lucy Turnbull (C, back) at an event commemorating the 75th anniversary of the Battle of the Coral Sea, aboard the USS Intrepid Sea, Air and Space Museum in New York, U.S. May 4, 2017. REUTERS/Jonathan Ernst
U.S. President Donald Trump lands via Marine One helicopter at the Wall Street landing zone in New York, U.S. May 4, 2017. REUTERS/Jonathan Ernst
U.S. President Donald Trump arrives aboard Air Force One at JFK International Airport in New York, U.S. May 4, 2017. REUTERS/Jonathan Ernst
An anti-Trump demonstrator (L) interacts with pro-Trump supporters near the Intrepid Sea, Air & Space Museum ahead of an expected visit by U.S. President Donald Trump in the Manhattan borough of New York City, U.S., May 4, 2017. REUTERS/Brendan McDermid
A man with "No" written on his jacket stands in front of the Intrepid Sea, Air & Space Museum ahead of an expected visit by U.S. President Donald Trump in the Manhattan borough of New York City, U.S., May 4, 2017. REUTERS/Brendan McDermid
U.S. President Donald Trump (L) and Australia's Prime Minister Malcolm Turnbull (R) deliver brief remarks to reporters as they meet ahead of an event commemorating the 75th anniversary of the Battle of the Coral Sea, aboard the USS Intrepid Sea, Air and Space Museum in New York, U.S. May 4, 2017. REUTERS/Jonathan Ernst
Protesters hold signs near the Intrepid Sea, Air & Space Museum ahead of an expected visit by U.S. President Donald Trump in the Manhattan borough of New York City, U.S., May 4, 2017. REUTERS/Shannon Stapleton
A pro-Trump supporter taunts anti-Trump protesters near the Intrepid Sea, Air & Space Museum ahead of an expected visit by U.S. President Donald Trump in the Manhattan borough of New York City, U.S., May 4, 2017. REUTERS/Brendan McDermid
Protesters hold a ""Dump Trump" sign from a bridge to the Intrepid Sea, Air & Space Museum ahead of an expected visit by U.S. President Donald Trump in the Manhattan borough of New York City, U.S. May 4, 2017. REUTERS/Shannon Stapleton
Protesters demonstrate near Trump Tower against U.S. President Donald Trump in the Manhattan borough of New York City, U.S. May 4, 2017. REUTERS/Mike Segar
A protester holds effigies of chief strategist Steve Bannon (top) and U.S. President Donald Trump near the Intrepid Sea, Air & Space Museum ahead of an expected visit by the president in the Manhattan borough of New York City, U.S. May 4, 2017. REUTERS/Shannon Stapleton TPX IMAGES OF THE DAY
Pro-Trump supporters walk near the Intrepid Sea, Air & Space Museum ahead of an expected visit by U.S. President Donald Trump in the Manhattan borough of New York City, U.S., May 4, 2017. REUTERS/Brendan McDermid
New York City Sanitation trucks are pictured parked outside of Trump Tower in the Manhattan borough of New York City, U.S. May 4, 2017. REUTERS/Mike Segar
Protesters hold signs near the Intrepid Sea, Air & Space Museum ahead of an expected visit by U.S. President Donald Trump in the Manhattan borough of New York City, U.S., May 4, 2017. REUTERS/Shannon Stapleton
Protesters gather ahead of the anticipated arrival of U.S. President Donald Trump in the Manhattan borough of New York, U.S., May 4, 2017. REUTERS/Brendan McDermid
Protesters demonstrate near Trump Tower against U.S. President Donald Trump in the Manhattan borough of New York City, U.S. May 4, 2017. REUTERS/Mike Segar
Protesters, including a person impersonating U.S. President Donald Trump, gather ahead of the anticipated arrival of the president in the Manhattan borough of New York, U.S. May 4, 2017. REUTERS/Brendan McDermid
A child holds a sign during a protest near Trump Tower against U.S. President Donald Trump in the Manhattan borough of New York City, U.S. May 4, 2017. REUTERS/Mike Segar
Protesters demonstrate near Trump Tower against U.S. President Donald Trump in the Manhattan borough of New York City, U.S. May 4, 2017. REUTERS/Mike Segar
Protesters demonstrate ahead of the anticipated arrival of U.S. President Donald Trump in the Manhattan borough of New York, U.S., May 4, 2017. REUTERS/Brendan McDermid
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Conservative magazine the National Review published a critical article on Tuesday calling the budget deal a major disappointment for the new administration. "It's hard to chalk the bill up as anything but a loss," wrote the National Review.

The piece also cast doubt on Spicer's claim that next year's budget will produce more Republican friendly results. "It's hard to imagine a different outcome in future negotiations."

"After all, Republican voters supposedly elected a 'fighter,' yet neither the president nor the Republican leadership seem to have fought for much of anything in this round."

The spending bill also failed to eliminate programs the president once called to be defunded, including Agriculture Department's rural business grant, a grant program for states cleaning abandoned mines and the Pacific Coast salmon recovery project.

Some GOP representatives and Republican leaders are already taking a stand in direct opposition to the new deal.

"When voters chose unified Republican government in November, they didn't bargain for Republicans ushering through an omnibus bill that keeps Obama-era spending priorities alive," said Rep. Mark Walker of North Carolina.

Conservative policy group Heritage Action called for Republicans to reject the deal. "When spending bills provide more funding to the National Institutes of Health (NIH) than border security, as this bill does, it's fair for conservatives to ask if this resembles more of an Obama administration-era spending bill than a Trump one."

Time will tell if the president's campaign promises will continue to be pushed aside during negotiations. But if the administration's first budget deal is any indication, it may be a bumpy road ahead for voters expecting Trump to secure major Republican legislative victories by way of the art of the deal.

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