Born in Patras, Greece, Vasilogiannis started his career at local club Dyni Achaia, from where he was transferred to the youth academies of Olympiacos in May 2007.[1] He made his official debut with the first team at the 2007 Greek Super Cup, coming as a substitute for Leonel Núñez in the 77th minute.[2]
On 31 August 2011, Vasilogiannis was loaned out to Cypriot First Division side Apollon Limassol for a year.[5] However, he never featured in the plans of his manager, Mihai Stoichiță, and he was released in late December of the same year, having failed to make a single first team appearance for the club.[6]
In January 2012, just a few weeks after his return to Olympiacos, Football League 2 side Glyfada offered to sign him on loan until the end of the season, an offer which Olympiacos accepted as the player would not get any playing time there.[7]
Kerkyra
On 5 July 2012, Vasilogiannis moved to Kerkyra FC in the Superleague for a one-year loan.[4] He made his Superleague debut on 16 September 2012, in a home match against Skoda Xanthi.[8]
In June 2016, Vasilogiannis returned to Lamia and helped the club achieve their first-ever promotion to Super League 1 with a team-leading 12 goals and 10 assists in 31 matches, earning him league MVP honors in the 2016/17 season.
Ümraniyespor
On the heels of his star turn at Lamia, the ambitious Istanbul-based club Ümraniyespor would swoop for Vasilogiannis in a quest for their own first-ever promotion to the Turkish Süper Lig. Vasilogiannis made 66 appearances with eight goals and eight assists for the club over the next two seasons, reaching as far as the semifinals of the promotion playoffs during his tenure but ultimately falling short.
Third spell in Lamia
In summer 2019, Vasilogiannis would leave Turkey and return to Greece for his third spell at Lamia,[10] this time with the club in Super League 1. He would make 29 appearances (15 starts) in the 2019/20 Super League 1 season, before departing midway through the following season for Chania.
Chania
Joining Chania in middle of the 2019/20 Super League 1 season, Vasilogiannis would score 15 goals with seven assists in 53 appearances over the next year and a half for the Cretan club.
Athens Kallithea FC
In July 2023, Vasilogiannis joined Athens Kallithea FC.[11]