He was the president of the Social Democratic Party (PS), serving in the General Council (2007–2009) and then as minister of the interior in the government of Jaume Bartumeu until its defeat in 2011.
He left PS at the start of 2013 and established Social Democracy and Progress (SDP) alongside Bartumeu, leading its candidacy and being one of its two members elected to the General Council in 2015.
Naudi is an architect and has criticised Andorra's building development since the Spanish Civil War, believing it to be rapid and unplanned.
[7] The following month, Naudi was a founding member of Social Democracy and Progress (SDP), which began as a current within the PS for those supporting Bartumeu.
[8] After fully separating from the party, Naudi led SDP in the 2015 Andorran parliamentary election, receiving 11.7% of the vote on the national list and two seats in the General Council.