Excuse me, is the background check of foreign company recruitment before or after the Offer?

General companies, including foreign companies, don't really do background checks, just look at them for reference, mainly depending on your personal ability and comprehensive quality.

If you have given an oral quotation, there is basically no problem, and I will not investigate you again. Intermittent periods are used to prepare paperwork, so don't worry. Just sign the contract next week.