On 30 August 2012 Traver was loaned to fellow league team Catarroja CF, in a season-long deal.[2] After being an ever-present figure for the side, he moved to Segunda División B side CF Reus Deportiu on 31 January 2013, on loan until June.[3]
Traver returned to the Granotas in June 2013, and signed a new two-year deal on 30 January of the following year.[4] On 3 December 2015, after further extending his contract until 2018 in July,[5] he made his first team debut by starting in a 1–1 Copa del Rey home draw against RCD Espanyol.[6]
On 4 July 2016, Traver was listed among the main squad, freshly relegated to Segunda División.[7] However, he returned to the B-side after the pre-season ended,[8] and was loaned to third-tier club UD Logroñés on 31 January 2017.[9]
On 25 August 2017, Traver moved to another reserve team, Sporting de Gijón B also in the third division.[10] He was definitely promoted to the main squad ahead of the 2018–19 season, after agreeing to a new three-year contract.[11]
Traver scored his first professional goal on 23 November 2018, netting the winner in a 2–1 away win against Granada CF. He left the club after his contract expired in July 2020, and signed for recently relegated side CD Numancia on 2 October.[12]