Vincenti began his career as a youth player for First Tower United, where he played for one year, before moving to his hometown club St. Peter.

He subsequently signed for Stevenage Borough the same month, and was part of the side that won the FA Trophy at Wembley Stadium during the 2008–09 season.

In August 2018, Vincenti was released from his contract at Coventry and joined newly promoted League Two club Macclesfield Town.

In 2023 Vincenti made his debut for the WGCS in a much hyped grudge match against Le Judge in the scorching heat at the Royal Jersey.

[3][4] Despite his father being involved in football, Vincenti stated his parents were "never obsessive" of him playing and that they placed more focus on the importance of education.

[4] The academy director at St. Peter, Brian Foulser, had contacts at English club Millwall and organised a trial for Vincenti in July 2007.

[18][19] Vincenti's return to the first-team coincided with an upturn in form for the Hertfordshire club,[17][19] and he was removed from the transfer-list by Westley in September 2008.

[20] Vincenti scored the only goal of the game with the last-kick of the match in the second leg of the FA Trophy semi-final against Ebbsfleet United on 21 March 2009.

[34][16] In October 2010, Vincenti joined Conference Premier club Mansfield Town on an initial three-month loan deal, with a view to the agreement being made permanent in January 2011.

[35][36] He made his Mansfield debut in the club's 4–1 home defeat to Crawley Town, playing 75 minutes of the match before being substituted.

[53] His third season at Aldershot began with a 7–6 penalty shootout defeat to Wolverhampton Wanderers at Molineux in the League Cup on 11 August 2012, with Vincenti playing the first 90 minutes of the match.

[57] He continued to play regularly during the second half of the campaign,[58] and scored one further goal that season, from close-range in a 2–1 home defeat to Plymouth Argyle on 9 February 2013.

[59] Vincenti made 46 appearances in his final season with the club, as Aldershot were ultimately relegated back to the Conference Premier after finishing in last place in League Two.

[34] Shortly after the end of the 2012–13 season, on 10 May 2013, Vincenti agreed to sign for League Two club Rochdale on a two-year deal following the expiration of his contract at Aldershot on 1 July 2013.

[61][62] Vincenti made his Rochdale debut in the club's first game of the 2013–14 season, playing the whole match in a 3–0 win over Hartlepool United at Spotland on 3 August 2013.

[63] He scored his first goal for the club in a 3–0 win against Newport County on 12 October 2013, courtesy of "a stunning 30-yard strike" to give Rochdale an early lead in the match.

[67] He played in Rochdale's first game back in League One during the 2014–15 season, coming on as a 65th-minute substitute in the club's 1–0 home loss to Peterborough United.

[68] He started the season by scoring four times in the opening month,[49] which included two goals in a 4–0 away victory at Crawley Town on 6 September 2014.

[69] Vincenti's first-half goal in a 1–1 draw with Gillingham on 18 October 2014 would serve as the catalyst for one of the player's most prolific goalscoring runs of his career.

[49] Included in this run was a penalty in Rochdale's 1–0 FA Cup victory against Championship opposition in the form of Nottingham Forest on 3 January 2015.

[78] Vincenti returned to the first-team on 21 January 2017, appearing as a half-time substitute in Rochdale's 4–0 home defeat to Oxford United.

[84] Coventry manager Mark Robins highlighted Vincenti's versatility and experience as two of the main reasons behind signing the player.

[84] He made his debut in the club's opening game of the 2017–18 season,[85] playing the whole match as Coventry secured a 3–0 win against Notts County at the Ricoh Arena.

[88] Vincenti made 29 appearances during his only season with the club, scoring three times,[85] as Coventry won promotion back to League One via the play-offs.

[85][89] Vincenti was released from his contract at Coventry ahead of the 2018–19 season in order to join newly promoted League Two club Macclesfield Town on a two-year deal on 9 August 2018.

[92] Having not played first-team football for eight months, Vincenti joined National League North club Hereford on a loan deal until January on 20 September 2019.