His family have asked for visitors to stop heading to the hospital to allow the Bolton midfielder to concentrate on his recovery.
It means only members of Muamba's family and Bolton Wanderers FC will be allowed to visit for the time being.
A statement released by his Bolton Wanderers: "Fabrice Muamba has had a comfortable night in the intensive care unit at The London Chest Hospital, where the medical team is continuing to monitor his progress.
"Fabrice's family has asked us to thank everyone again for their thoughts and prayers and for the continued messages of support, from which they draw great strength.
"They would also like to thank the media for continuing to respect their privacy.
"To ensure the smooth running of the hospital for all patients - as well as Fabrice's need to concentrate on his recovery - they would request that he receive no more visitors for the moment, outside of immediate family and members of Bolton Wanderers Football Club."