Although contracted to The Reds for next season, a source close to the situation claims the in-form Garuccio has received interest from a several clubs in Holland, France and the UK.
While the source wouldn't be drawn into naming which clubs have expressed a desire in making a move for the 21 year-old defender, they did say it was gaining some real momentum.
Garuccio has been one of few shining lights for Adelaide this season and hasn't missed a minute of their campaign so far.
The former Melbourne City player made the move to Adelaide United in April and has become one of the first names on Guillermo Amor's team sheet.
So far this season the Adelaide product has made 36 tackles, 63 interceptions and 38 crosses creating a total of 17 chances.
He has two assists to his name and was man of the match in Adelaide's 1-1 draw with Brisbane in Round 6.
The club has already said goodbye to former Australia player James Holland this season after he was released only five months into a two year deal to take up a move to the Chinese Super League.
An Adelaide United spokesman said the club was unaware of any overseas interest in Garuccio, and stated the player was still contracted to the A-League outfit until 2018.