The French club has accused the Magpies of contacting the 23-year-old without permission on two occasions.
Meanwhile Maiga, who has three years left on his contract, is known to be keen on a move. He has been absent from training at the club in the hope of provoking a transfer.
"On Monday August 22, 2011, FC Sochaux-Montbeliard sent a referral to FIFA with the aim of obtaining [assurances] on the part of Newcastle United that they will stop their contacts with Modibo Maiga, who is under contract with FCSM until 2014.
"This [contact] is in violation of Article 18 of the current international regulations.
"This measure comes after Sochaux demanded without success, in an official manner and on two occasions, that the English club put a stop to their actions."
Maiga scored 15 goals in 36 Ligue 1 appearance for the club last season.