A total of 11 Highlands and Islands Airports (Hial) were affected by the action although Dundee was the only one to close completely.
Now, the Prospect Union have welcomed a move by Hial, which made a formal offer to “resolve this issue as quickly as possible”.
Hial managing director Inglis Lyon said: “We will submit a formal offer to the union this week, which we hope will provide the basis for a meaningful, constructive dialogue. It has always been the intention of the company to address the concerns of security staff, but it is impossible to do so under the threat of industrial action.
“It is important that we resolve this issue as quickly as possible.”
Prospect national secretary Alan Denney said: “We look forward to receiving a written offer and entering into a constructive dialogue with Hial on the basis of this.
“We hope this will lead to a swift resolution of our dispute.”
Prospect represents 120 of AMSL’s 160 workers at 11 Hial airports.
Crunch talks in bid to prevent more strikes at Dundee Airport