Rome's an odd Italian resort (3,4)
I believe the answer is:
san remo
'italian resort' is the definition.
(I've seen this before)
'rome's an odd' is the wordplay.
'odd' is an anagram indicator.
'romes'+'an'='romesan'
'romesan' with letters rearranged gives 'SAN REMO'.
(Other definitions for san remo that I've seen before include "Ligurian resort" , "Oarsmen (anag) -- Italian Riviera resort" , "Scene of Lear's death" , "Tourist city on the Italian Riviera" , "on the Med" .)