The conciliation service Acas said in a brief statement:
The parties in the London Underground dispute have agreed to come in and continue exploratory talks at Acas this Friday, February 7.
RMT leader Bob Crow said:
Our negotiators are geared up and ready to enter the exploratory talks on Friday.
In the meantime the current action continues with the rock solid support of our members and we will be back out on the picket lines early tomorrow morning as the strike heads into its third day.
Union leaders were under pressure tonight to call off the strike after it emerged new peace talks would take place on Friday.
Bob Crow has told ITV News that he does not use ticket offices at London Underground stations.