Fine Italian police series suited one's needs (3,3,4)

I believe the answer is:

fit the bill

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'series suited one's needs' is the definition.
I know nothing about this answer so I can't tell whether this works.

'fine italian police' is the wordplay.
'fine' becomes 'f' (abbreviation e.g. condition of old coins, books).
'italian' becomes 'it' (abbreviation for Italian).
'police' becomes 'the bill' (informal UK term for the police).
'f'+'it'+'thebill'='FIT THE BILL'

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(Other definitions for fit the bill that I've seen before include "What police tailors might do" , "serve well" , "Be suitable" , "finish off some taxidermy?" .)

I've seen this clue in The Telegraph.

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