It was one of four parties in the Fico III government coalition, but lost all its seats in the National Council in the 2020 Slovak parliamentary election.

This commitment was cemented by electing Rudolf Chmel, an ethnic Slovak, as one of the party's vice presidents representing.

[11] This programme and political ideology manifested itself in the party first taking part in the centre-right Radičová-government between 2010 and 2012, and also cooperating with the centre-left Fico government in minority issues in the next electoral cycle.

In 2010, Most–Híd entered the four-party government of Iveta Radičová, and sought to advance its agenda, including in language rights, citizenship, agriculture and environmental policy.

As in 2010, SMK-MKP failed to reach the required threshold, leaving Most–Híd as the only parliamentary party representing the interest of the Hungarian minority in Slovakia.

In 2023, a few months before the election, however they left the united party again over a dispute about allowing former OĽaNO MP György Gyimesi on the list.