Amid multiple investigations touching on Rudy Giuliani's work in Ukraine, one of his new lawyers, Robert Costello, said in an interview Thursday that the scope of representation is wide-ranging but that Giuliani is facing no real legal threats, just frivolous allegations.

False insinuations are "interfering with [Giuliani's] ability to represent the president of the U.S., and therefore it's interfering, in effect, with the 2020 election. Isn't that ironic?" said Costello of Davidoff Hutcher & Citron.

Costello is one of Giuliani's three new lawyers, along with Eric Creizman and Melissa Madrigal, two partners from Pierce Bainbridge Beck Price & Hecht, Giuliani tweeted this week. Any division of responsibility between Costello and the Pierce Bainbridge lawyers was still being discussed, Costello said.