After days of mounting political tension, the leading players in Italy’s bickering coalition government tried to steer their way to calmer waters on Friday, pledging to meet and discuss their differences in a bid to hold the government together.

The two main governing factions, the far-right League party and the anti-establishment Five Star Movement, have been increasingly at odds, even trading personal barbs, raising speculation that the coalition might collapse after less than 14 months in office, forcing early elections.

As cabinet members gathered on Friday for a scheduled meeting in Rome, Matteo Salvini, the League’s leader, said that he would sit down with the Five Star leader, Luigi Di Maio. Both men hold the post of deputy prime minister and are considered the real powers in the government nominally led by Prime Minister Giuseppe Conte.

“We will certainly meet,” Mr. Salvini said in a statement. “The problem is not Di Maio, but opposition coming from many Five Star politicians.”