Restore new to old deice

No. This is because your iPhone 13 Pro Max has probably created a backup file while using iOS 16. Your iPhone 7 can only be updated to iOS 15. Here, you have an iOS mismatch. You cannot restore a backup file created with a higher iOS version on an iPhone that has a lower iOS version installed.

NOTE: You can restore a backup created with a lower iOS version on an iPhone with a higher iOS version.

Yes. If, by any chance, your iPhone 13 Pro Max still has iOS version 15 installed and you have not updated to iOS 16 then you can use that backup to restore your iPhone 7.

Axel F.

Usmannov14 Said:

"Restore new to old deice: Can i restore my 13pro max backup to my old device iPhone 7"

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Use Quick Start to Transfer:

No. When you a transferring to a new iPhone, then this is the link to use: Use Quick Start to Transfer Data to a new iPhone, iPad, or iPod touch - Apple Support

Can i restore my 13pro max backup to my old device iphone 7

No. You could restore an iPhone 7 backup to an iPhone 13, but you can't go the other way.

Another way to say the same thing, you can only restore a backup; to a phone that is using the same iOS version, or a higher iOS version.

Restores of backups must be from the same or older iOS version to the same or newer iOS.

iPhone models are only a consideration secondarily; only on what iOS versions the model can run.