Italy, not part of theoretical agreement (4)
I believe the answer is:
deal
'agreement' is the definition.
(deal is a kind of agreement)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for deal that I've seen before include "Give out (cards)" , "Share out (cards); wood" , "Soft wood; trade" , "Put cards on table" , "Pass around (e.g. cards)" .)