This turns out to be harder that it seems.
Branch and connect the trigger signal to the external reset port of a resetable Integrator block, which takes Constnat value 1 as its input. This will make a resetable time clock in-sync with your triggered subsystem. Connect the output of the Integrator block to a 1-D lookup table,which uses your time and data value as its parameters. This way, you will be able to repeat the customized signal, in-sync with the triggered subsystem.