One man was located at a north London hospital with “laceration and stab injuries”.
A second was transported to a hospital in east London.
Neither of their injuries are believed to be life-threatening.
Scotland Yard confirmed on Wednesday afternoon that no arrests have yet been made.
Officers are working to establish the details of what happened.
A spokesperson said: “There have been no arrests and enquiries continue.”
If you have any information call police on 101 or Crimestoppers on 0800 555 111.