It comes after The Vatican said on Sunday that the Pope was in a critical condition and was showing an "initial, mild" kidney problem - but was "vigilant" and took part in Mass in hospital with those caring for him.
His message said: "I am confidently continuing my hospitalisation at the Gemelli Hospital, carrying on with the necessary treatment; and rest is also part of the therapy!".
Pope Francis is "resting" in hospital and the night "went well", The Vatican has said in its latest update.
On Saturday, the Vatican said the pontiff was in a critical condition after a "prolonged respiratory crisis" that required a high flow of oxygen.
The Vatican released a message from the Pope yesterday - his first from his hospital bed - in which he asked people to pray for him.