Di Michele has been capped six times for Italy and has played for teams such as Palermo and Udinese where he enjoyed the most success, scoring 15 goals in 37 appearances during the 2004-05 season.
Ilunga made 136 appearances for St Etienne before moving to Toulouse in 2007.
He played 35 times in Ligue 1 last season and also played a part in Toulouse's Uefa Cup run.
The pair join Valon Behrami and Jan Lastuvka as new signings brought in by manager Alan Curbishley during the summer transfer window.
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