After playing for Tottenham Hotspur, Della-Verde signed for Southend United in 2007.[4] He signed for Fulham in mid-2011,[5] turning professional on his 17th birthday in January 2012.[3] He signed on loan for Bristol Rovers in November 2014 for an initial one-month period.[6] The loan was extended in early December 2014,[7] although it was cut short a week later after he suffered an ankle injury.[8]
After being released by Fulham, he signed a two-year contract with Fleetwood Town in July 2015.[9] He was released by Fleetwood in February 2016, signing a one-month contract with Crawley Town later that month.[10] Della-Verde was released by Crawley Town at the end of the 2015–16 season,[11] and signed for non-league Welling United in August 2016.[12][13] He was released by Welling United on 19 November 2016.[14] On 2 December 2016, he signed for Concord Rangers.[15] He signed for Dartford in June 2017.[16] At the end of the 2017–18 season – after Dartford missed out on promotion back to the National League – Della-Verde left the club.[17]