After being quickly made aware of an issue related to network games in 19.1.3, SI released 19.1.4 which has included a fix for all previously created network games for FM19 no longer receiving an error message.
Released: 13 November 2018
As usual the update is save game compatible, so you don't have to start a new save game.
To update you will need to close down Football Manager 2019 (or Football Manager Touch 2019) and re-launch for it to update. If this does not work for you or you feel it has not updated you will need to restart Steam.
Even if that doesn't do the trick, then verify the game cache will.
19.1.4 List of Changes
- Fix for previously created network games receiving 'No database available' error message
If you encounter any issues please do take the time to raise them via the FM2019 bugs official forum.