Carbià was an unused substitute in a 3–1 Segunda División away win against FC Cartagena on 17 March 2012,[1][2] and appeared with the main squad in the 2011 and 2012 pre-seasons, although his spell was mainly associated to the reserves. On 8 July 2013, he agreed to a contract with Segunda División B club CF Reus Deportiu.[3]
On 20 November 2015, as his contract was due to expire, Carbià renewed his link until 2017,[4] and contributed four goals in 33 appearances as his side achieved promotion to division two for the first time ever. He made his professional debut on 27 August 2016, starting and scoring the first in a 1–1 home draw against CD Mirandés.[5]
On 16 October 2016, Carbià scored a brace in a 2–0 win at UCAM Murcia CF.[6] Six days later, he closed the 2–1 home victory over CD Lugo, taking his tally up to five in the first 11 matches.[7][8]
On 28 December 2018, Carbià was one of the five players who left Reus due to unpaid wages.[9] The following 11 January, he signed with FC Dinamo Tbilisi for five months.[10]
Carbiá returned to the Spanish third tier in the summer of 2019, joining UD Ibiza on a two-year deal.[11] The following transfer window, he moved to Gimnàstic de Tarragona in the same league on loan until 30 June.[12] On 2 September 2020, he agreed to a permanent contract at the latter side.[13]
^Miró, Rubèn; Solé, Xavi (17 March 2012). "Per batallar que no quedi" [They cannot say we did not battle it out]. L'Esportiu (in Catalan). Retrieved 9 August 2016.
^González, José Raúl (20 November 2015). "Fran Carbià renueva en el Reus Deportiu" [Fran Carbià renews at Reus Deportiu] (in Spanish). La Segunda B. Retrieved 9 August 2016.