[15] It has never been part of a governing coalition in the executive branch but provided parliamentary support to Andrej Babiš' Second Cabinet until April 2021.

[17] Until 2013, it was the only political party in the Czech Republic printing its own newspaper, called Haló noviny.

[21] Svoboda had to balance the criticisms of older, conservative communists, who made up a majority of the party's members, with the demands of an increasingly large and moderate bloc of members, led primarily by a group of young KSČM parliamentarians called the Democratic Left, who demanded the immediate social democratization of the party.

On the party's other wing, the Democratic Left became increasingly critical of the slow pace of the reforms and began demanding a referendum of members to change the name.

Svoboda, who was hospitalized due to an attack by an anti-communist, could not attend the congress but was nevertheless overwhelmingly re-elected.

[22] In 1993, Svoboda attempted to expel the members of the "For Socialism" platform, a group in the party that wanted a restoration of the pre-1989 Communist regime;[23] however, with only the lukewarm support of KSČM's central committee, he briefly resigned.

He withdrew his resignation after the central committee agreed to move the party's next congress forward to June 1993 to resolve the issues of its name and ideology.

[20] At the 1993 congress, held in Prostějov, Svoboda's proposals were overwhelmingly rejected by two-thirds majorities.

[24] After a long-running battle with the Ministry of the Interior, the Communist Youth Union led by Milan Krajča, was dissolved in 2006 for allegedly endorsing in its program the replacement of private with collective ownership of the means of production.

30 out of the 38 senators who were present agreed to this request, and expressed the view that the party's program did not reject violence as a means of attaining power and adopted The Communist Manifesto of Karl Marx;[26] however, this was only a symbolic gesture, as according to the constitution only the cabinet may file a petition to the Supreme Administrative Court to dissolve a political party.

[37][better source needed] The party is stronger among older than younger voters, with the majority of its membership over 60.