President Trump reportedly invited Sen. Lisa Murkowski Lisa Ann MurkowskiMomentum growing among Republicans for Supreme Court vote before Election Day Collins: President elected Nov. 3 should fill Supreme Court vacancy Barrett seen as a front-runner for Trump Supreme Court pick MORE (R-Alaska) to a private meal earlier this month.

Murkowski could not attend the lunch due to a prior obligation in her home state, CNN reported Tuesday.

"I don't think there's a sourness," the senator told the news network, referencing her relationship with the president.

"If there were, I don't think he would continue to be engaging — and that's what we are going to continue to do."

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The president’s invite comes as Republicans once again pursue new health care legislation, with Sens. Bill Cassidy William (Bill) Morgan CassidyCoushatta tribe begins long road to recovery after Hurricane Laura Senators offer disaster tax relief bill Bottom line MORE (R-La.) and Lindsey Graham Lindsey Olin GrahamMomentum growing among Republicans for Supreme Court vote before Election Day Video of Lindsey Graham arguing against nominating a Supreme Court justice in an election year goes viral Warning signs flash for Lindsey Graham in South Carolina MORE (R-S.C.) pushing a block grant proposal to repeal much of ObamaCare.

Murkowski caught the ire of Trump this summer when she voted against a procedural measure to begin debate over health care.

"Senator @lisamurkowski of the Great State of Alaska really let the Republicans, and our country, down yesterday. Too bad!" Trump wrote on Twitter in July.

Murkowski, along with Sens. John McCain John Sidney McCainMomentum growing among Republicans for Supreme Court vote before Election Day McConnell urges GOP senators to 'keep your powder dry' on Supreme Court vacancy McSally says current Senate should vote on Trump nominee MORE (R-Ariz.) and Susan Collins Susan Margaret CollinsJeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Trump supporters chant 'Fill that seat' at North Carolina rally Momentum growing among Republicans for Supreme Court vote before Election Day MORE (R-Maine), then voted against the “skinny” repeal of ObamaCare later that week.

The new effort to repeal ObamaCare appears to have picked up some momentum, but Murkowski has said she is still studying the bill.

"I need to figure out how all the numbers work with regards to Alaska," she told a small group of reporters Monday.

She said she met with Cassidy last week to go over numbers.

Asked if the bill is better than the bill she voted against in July, Murkowski said, "I still have to figure that out."