Gulyás was a deputy chairman of the Committee for Human Rights, Minorities, Civic and Religious Affairs of the Hungarian Parliament.

After several protests he said that "despite political debates we think it is an important value that for the first time, a freely elected parliament created the Basic Law".

[1] In October 2011 Gulyás co-wrote a bill, "lex Biszku", which aimed to hold citizens and law enforcement officials responsible for reprisals against demonstrators following the unrest of 1956.

[2][3] He stated during a news conference in October 2011 that the party's proposal for a solution was constitutional and in line with international law.

[4] In his second term, Gulyás was appointed Deputy Speaker of the National Assembly responsible for the Legislation on 6 May 2014.