Simeon Williamson, Tyrone Edgar, Marlon Devonish and Harry Aikines-Aryeetey all impressed to finish 0.71 seconds behind the winning Jamaican sprint team.
In his absence, the 32-strong Great Britain and Northern Ireland squad for Paris includes Harry Aikines-Aryeetey, Dwain Chambers and Joel Fearon for the men's 60m sprint.
Great Britain's men made it through the heats of the 4x100m relay as Simeon Williamson, Tyrone Edgar, Marlon Devonish and Harry Aikines-Aryeetey set the second best time of 38.11.