I have received an advance payment.

我已收到一笔预付款。

She made an advance payment for her new car.

她事先预付了她的新车。

And after receipt of an advance payment, if applicable.

如果可以的话，在收到预付款之后。

Group reservation requires advance payment of the deposit.

团体预定房间要求提前交付押金。

To check the payment for suppliers and advance payment with purchasing Dept.

与采购部门核对供应商的付款及预付款情况。