GMB suspended threatened strike action earlier this year over the introduction of new rosters which the union said would have led to a reduction in incomes of members after the company agreed to enter talks. Talks broke down last Friday.
GMB organiser Gary Pearce said: "GMB negotiators have been in talks to reach an agreement to resolve this issue since the agreed suspension of the strike action scheduled over Easter.
"It is a shame that Swissport has made and then withdrawn a number of proposals including a return to the original four-days-on and two-days-off roster which would have settled the dispute. The proposals were withdrawn last Friday."