Enhanced systems and methods for processing invoices, payments, and money transfers are described. One aspect of the invention is a computer-implemented method (and corresponding system and computer program product) for making payments between a plurality of different payors and a plurality of different issuers through a payment system, comprising: retrieving a plurality of invoices issued by a plurality of different issuers and issued to a plurality of different payors; receiving a request from at least one of the plurality of different payors for making a payment to at least one of the plurality of different issuers in response to at least one of the plurality of invoices; and in response to receiving the request, making a payment from a bank account of said payors to a bank account of said issuer without disclosing the bank accounts.