The parent company of Southern Rail, Govia Thameslink Railway, has invited the RMT Union for face to face talks next week in an attempt to settle their dispute.
Charles Horton, the chief executive of GTR, has sent a personal letter to RMT general secretary Mick Cash.
He states that his negotiation team are happy to talk "in a spirit of open and positive dialogue to explore the areas of difference between us with a view to resolving the dispute in the interests of our customers and employees."
He also asked that the talks would be held "without the threat of further industrial action hanging over them."
The RMT Union has previously held several strikes over the role of conductors and safety, causing travel chaos for passengers.
GTR are now said to be contacting the union to make "the necessary arrangements" for the talks.
Yesterday GTR reached an agreement with the Aslef Union, now the 930 members of Southern Rail will now have a referendum on whether to accept the deal.