The 31-year old looked set to return to his former club back in January, although San Lorenzo were unable meet Newcastle's asking price at the time.
Coloccini went on to make 29 appearances for the Magpies this season, but Lammens is hoping to take advantage of the Argentine's desire to move back home.
"I have the intention of having a meeting with Fabricio and talking about the conditions of his arrival to San Lorenzo," he told La Cicloneta.
"We understand that Newcastle don't have too much interest in the summer other than keeping Coloccini in their squad.
"They have managed to escape from the relegation zone, so they will now think about what is best for the player; that need to go back home."