Democratic presidential candidate Pete Buttigieg Pete ButtigiegThe Hill's Morning Report - Sponsored by Facebook - GOP closes ranks to fill SCOTUS vacancy by November Buttigieg stands in as Pence for Harris's debate practice Hillicon Valley: FBI, DHS warn that foreign hackers will likely spread disinformation around election results | Social media platforms put muscle into National Voter Registration Day | Trump to meet with Republican state officials on tech liability shield MORE dismissed President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE's tweets mocking him on Sunday just hours after the president again took aim at the South Bend, Ind., mayor.

"I don't care," Buttigieg told Fox News's Chris Wallace Christopher (Chris) WallaceNearly 40 Democratic senators call for climate change questions in debates Webb: Political Reality Check The Hill's Morning Report - Sponsored by Facebook - GOP closes ranks to fill SCOTUS vacancy by November MORE at a town hall in Claremont, N.H.

ADVERTISEMENT

Buttigieg went on to say that Trump's Twitter account is "a great way to get the attention of the media."

The mayor said Trump's online behavior is "grotesque," adding that "it is the nature of grotesque things that you can't look away."

His comments came after Trump took aim at Fox News for giving him airtime and compared him to a character from Mad Magazine.

"Hard to believe that @FoxNews is wasting airtime on Mayor Pete, as Chris Wallace likes to call him," Trump tweeted.

Hard to believe that @FoxNews is wasting airtime on Mayor Pete, as Chris Wallace likes to call him. Fox is moving more and more to the losing (wrong) side in covering the Dems. They got dumped from the Democrats boring debates, and they just want in. They forgot the people..... — Donald J. Trump (@realDonaldTrump) May 19, 2019

....who got them there. Chris Wallace said, “I actually think, whether you like his opinions or not, that Mayor Pete has a lot of substance...fascinating biography.” Gee, he never speaks well of me - I like Mike Wallace better...and Alfred E. Newman will never be President! — Donald J. Trump (@realDonaldTrump) May 19, 2019

Trump has also taken aim at other Democratic primary candidates, particularly former Vice President Joe Biden Joe BidenBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Democratic groups using Bloomberg money to launch M in Spanish language ads in Florida Harris faces pivotal moment with Supreme Court battle MORE, calling him "Sleepy Joe."