U.S. President Donald Trump pursued a business deal to erect a tower bearing his name in Moscow throughout 2016, his attorney said on Sunday, raising new questions for congressional investigators looking into possible ties between the president and Russia.

Trump lawyer Rudy Giuliani said he may have continued to pursue the project and had discussions about it with his former personal attorney, Michael Cohen, until as late as October or November 2016, when Trump was closing in on his election victory against Democrat Hillary Clinton.

"It's our understanding that they (the discussions) went on throughout 2016," Giuliani, a former New York City mayor, told NBC's "Meet the Press."