The package type identifier of "conversation with permission" is utilized in certain ANSI-41 Mobile Application Part (MAP) messages to allow a node receiving the message to generate an appropriate response message necessary for MAP operation closure within a Transaction Capability Application Part (TCAP) transaction. In one implementation, an ANSI-41 MAP error or reject message includes a package type identifier of "conversation with permission" instead of "response" thus allowing the node receiving the error or reject message to appropriately respond in connection with the closure of an open MAP operation. In another implementation, the "conversation with permission" package type identifier is specified for an ANSI-41 MAP instruction request message to support MAP operation closure in the event of an error or rejection in that operation.