A system for transmitting data between laser apparatuses or machine tool apparatuses that have communication devices. The system includes a first laser or machine tool apparatus with a first communication device for setting up a first connection that is a local wireless point-to-point connection, and a second laser or machine tool apparatus including a second communication device for setting up a second connection that is a local wireless point-to-point connection, and a mobile terminal. The mobile terminal includes a terminal data memory, and a terminal communication device for setting up local wireless point-to-point connections to the first apparatus and the second apparatus. The system is configured to transmit data of the first apparatus through the first connection to the mobile terminal, buffer-store the data in the terminal data memory, and, after the first connection terminates, transmit the data from the mobile terminal through the second connection to the second apparatus.