However, Trump did not co-operate and used You Can't Always Get What You Want at the Republican National Convention back in July, and he also made use of the song Brown Sugar.
A statement released by the band, which also includes Ronnie Wood, Keith Richards and Charlie Watts, at the time read: "The Rolling Stones do not endorse Donald Trump.
"You Can't Always Get What You Want was used without the band's permission."
However, neither parties have backed down and the legal battle continues.
A source said: "This row is showing no signs of ending. There has been a mass of correspondence between the two parties.
"Both sides believe they are in the right and neither is refusing to budge.
"Fair play to the Stones for standing up for their rights and that of other musicians.
"It is a matter of principle for them. They are acting for the wider musical community."