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1 May 2015, 11:53 | Updated: 1 May 2015, 11:54
Fresh talks are going to be held to reach a pay deal for thousands of London Underground workers for the next two years, and the introduction of a new all-night service.
Transport for London (TfL) said it had asked unions to join talks at the conciliation service Acas next week.
The current offer is for a pay rise of 0.75% over the next year - increased from a previous 0.5% - and a rise in line with RPI inflation in year two.
Workers are also being offered a £500 payment for the introduction of weekend all-night Tubes, which are due to start on some lines in September, with an additional £250 for staff most affected by the new service.
TfL said its pay rates had outstripped inflation over the past decade, but warned that the trend could not continue in the current economic climate.
Chief operating officer Nick Brown said: "We have been talking with the trade unions for several months now and have put forward a pay offer that rewards our hardworking staff and is affordable, sustainable and fair.
"We have set out how we will minimise the impact of night Tube services on the work-life balance of our staff as far as possible, and have set out a fair level of reward for all those staff affected.
"We've also set out how London Underground pay levels have outstripped inflation over the last 10 years. As is the case for many organisations, both private and public, the current economic climate means that there is considerable pressure on our finances and such a trend of growth cannot continue."
A spokesman for the Rail, Maritime and Transport (RMT) union said: "There is no agreement whatsoever on either the current pay round or the associated issue of reward for the night Tube running.
"There will be a meeting of RMT reps from across London Underground next week to discuss the latest position, which is a total stalemate, and a report will then go to the union's executive and all options for securing a fair pay deal for our LU members remain open."