Rail Delivery Group
However, the union's dispute with the train operating companies "remains firmly on".
Sky's Jayne Secker hit back at the RMT boss after he accused her of being a "government mouthpiece".
"If anyone says that's not the case, they are not telling you the truth," the RMT boss told MPs.
Strikes are set to go ahead next week although talks will be held with the Rail Delivery Group today.
The rail fare system is too rigid, but the changes needed to make simpler fares a reality require pre-internet era regulations to be updated by government, Rail Delivery Group's Robert Nisbet writes.
The decision was taken after "strong reaction to news of our departure".
Some will be cheaper but others may be more expensive.
The government is finally listening to our Fans' Fare proposals, but they must ensure fans are in on the conversation
It comes as research reveals fewer than half of passengers are satisfied with the value for money of train tickets.
The Rail Delivery Group (RDG), which represents rail firms, said about 55 million different fares exist in the current system.