From May 2012 to September 2013, Dubéci worked as an advisor to Erika Jurinová (OĽaNO), then-vice president of the National Council of the Slovak Republic.

[6] On 3 June 2014, Procházka stated: "only my colleagues, including Martin Dubéci, knew about the money that went to the presidential campaign, but not through a transparent account until Monday.

"[7] In September 2015, Dubéci ended his work as member of Slovak Conservative Party, which he justified by its approach to solving the migration crisis.

[9] Prior to the 2016 Slovak parliamentary election, Dubéci said that the approval of the anti-terrorist amendment to the Constitution of Slovakia by deputies of Smer-SD would not happen.

[14] Dubéci ran his first marathon in 3 hours and 27 minutes in 2021,[15] then became general manager of the cultural center Tabačka Kulturfabrik one year later.