The practice had originally drawn up a design for the canalside plot as part of a larger masterplan for the station which included the demolition of the iconic Grade I-listed shed.
Now Grimshaw has resubmitted new plans for 'Building Three' at the north-west corner of the station on behalf of developers Hammerson (Paddington) and Domaine Developments.
The revised office proposals, which replace a scheme designed for Network Rail as part of the wider 2003 application, have been significantly remodelled and include proposals for a new Hammersmith and City line station.
Other amendments include the removal of an overhang which would have jutted out over the rail tracks.
The 18-storey block will feature 15 floors of offices over three storeys of transport interchange and public space.
It is hoped the scheme will start on site in January next year.