The 26-year-old, who can be utilised as a striker or a winger, currently plies his trade with Monaco but spent last season working under Puel at Nice.
Operating as Hatem Ben Afra’s strike partner, the Frenchman bagged 14 goals and six assists in 38 Ligue 1 appearances last season, whilst averaging 1.2 created chances per match.
La Liga outfit Real Betis have been strongly linked with Germain, amid claims Monaco are ready to cash in on the former France U21.
But Estadio Deportivo claim the Spanish club could face competition from Southampton, with fresh managerial appointment Puel eager to link up with Germain next season.
The former Nice gaffer has only made one signing since being announced as Ronald Koeman’s successor last month in the form of prodigious midfielder Pierre-Emile Hojbjerg, who completed a transfer from Bayern Munich for an undisclosed fee.