Certainly, everyone wants to limit what they pay in closings costs. There are no set rules as to which party pays certain expenses, as everything is negotiable. Typically, the contract will state that the Seller’s closing expenses are capped at a certain amount, such as “Seller will pay up to $2,000 in closing costs and all other closing costs shall be paid by the Buyer.”
Also, if the Buyer is getting an FHA loan, make sure it is clear that the Seller is only paying what is stated in the contract. FHA loans require Sellers to pay certain expenses, so you should ask the lender for this information before entering into a contract.