Beere was released from the Kingsmeadow outfit at the end of last season, and therefore became a free agent.
Beavers` fans have great memories of Beere during his time in the 2015/16 season, being a vital part of that championship-winning squad, making sixteen appearances in the last third of season, scoring 4 times.
As well as the Beavers, the 22-year-old midfielder has also spent time out on loan at Bishop`s Stortford and Gateshead and made thirty appearances for the Dons, scoring one goal.
Beere will go straight into the squad for the weekend's games against Havant & Waterlooville and Welling United along with manager Alan Dowson`s other new recruit, Bradley Hudson-Odoi.
Hudson-Odoi (pictured) joins Hampton on a month's loan from National League side Sutton United.
The 28-year-old Ghanaian signed for the South London outfit after impressing for Wealdstone in 2015/16 and was part of the Sutton squad that made such an amazing run into the Emirates FA Cup Quarter-Finals last season.