'Listening'
The European Commission drew up plans which suggested that the full ban would in fact have a time limit.
The proposal would have let companies charge roaming fees to consumers who used their phones abroad for more than 90 days in a year or for more than 30 days in a row.
Commission spokesman Alexander Winterstein said that, on average, EU citizens spent 12 days abroad per year.
"Roaming charges are going to disappear entirely by June 2017, period," he said.
But he added that, on the instruction of Commission President Jean-Claude Juncker, the draft proposal of exactly how that would happen would be withdrawn and a new version would be produced.
"We have been listening and now we are going back to the drawing board," he said.