I am no expert on this topic, but just giving you a general idea of what we usually look for our film suppliers.
So the questions is what material is the film wrap? I am assuming this is a food contact over wrap film for the products you are producing.
I usually encounter polyethylene and polypropylene type of films used as direct food contact. There is a test that they conduct for these type of films, something that sounds like solvent extraction test to withstand various applications.
Is the film wrap printed or just plain? If printed, then you have to also look into the ink used for the printing process, although ink is not considered by FDA as indirect food additive.
Is this a flow wrap or shrink wrap? again different material is used for shrink or flow wrap application.
The gauge is dependent on your application and the machine you will use to wrap the products, as this will affect the cutting/ sealing / temperature of machine etc.
Here is the CFR for polymers so you can read (if you can understand, this is too technical for me)
Ultimately, your machine or film supplier will be expert on these compliances but it doesn't hurt to understand the required so you can verify.
Hopefully an expert here in the forum can both enlighten us on this.