The Romanian teenager, now 18, is well known by Italian scouts given that he was controversially signed by City last summer while on the youth team books of Lazio.
The capital club netted just £300,000 in compensation from the Premiership giants for his signature.
Marin is a versatile player who can be used on the left in defence and midfield. He has also been asked to play as a centre-back on occasions.
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