Drink American provided for each Italian inside (8)
I believe the answer is:
aperitif
'drink' is the definition.
(aperitif is a kind of drink)
'american provided for each italian inside' is the wordplay.
'american' becomes 'a' (common abbreviation - e.g. in organisation names).
'provided' becomes 'if'.
'for each' becomes 'per' (I've seen this before).
'italian' becomes 'it'.
'inside' indicates putting letters inside.
'per'+'it'='perit'
'a'+'if'='aif'
'aif' enclosing 'perit' is 'APERITIF'.
(Other definitions for aperitif that I've seen before include "Alcoholic drink to stimulate appetite" , "alcohol before meal" , "Appetising drink" , "An alcoholic drink before dinner, an appetiser" , "What's drunk before a meal?" .)