A yellow 'be prepared' warning was issued by the Met Office for the Strathclyde area, with the heaviest rain forecast to fall between midnight and 6am.
Flooding caused travel chaos yesterday as trains were cancelled and roads closed after some parts of west central Scotland were hit by up to two inches of rain.
Council and rail staff spent most of yesterday battling to clear flooded roads and tracks.
Bilsland Drive, in Maryhill, was closed for most of yesterday, while major flooding under the Forth and Clyde Canal aqueduct forced the closure of Sandbank Street, also in Maryhill.
Train travellers were also hit by disruption.
Drivers were today being warned about the risk of surface water.
A spokesman for Meteogroup, the weather arm of PA, said: "The heavy rain should start to ease by morning but if there are already problems with flooding, the overnight rain is going to make things a lot worse."