Although guidelines and specifications can vary from region to region in order to reflect local customs, practices, and economics, a 2009 decree outlines the following minimum standards that establishments should meet to achieve a particular star:
One star rating
Customers should be able to expect that the front desk is staffed at least 12 hours a day. The standard size for double rooms should be 14 square meters. Staff should clean the rooms once a day and change the bedsheets once a week.
Two star rating
A one star hotel bumps up to a two star hotel if it has an elevator and the staff cleans the sheets at least twice a week.
Three star rating
A three star Italian hotel contains features and amenities consumers can expect from a modern establishment: reception must operate 16 hours a day and the receptionists need to speak a foreign language, the staff and concierge need to be dressed in uniforms. Hotels of this rating must have a bar service and its rooms must have Internet and a bath.
Four star rating
A four star hotel must have its staff clean and reset the entire room once a day. This is usually done in the afternoons. They need to replace bedsheets and towels daily as well. The hotel must offer a laundry service. There must be as many parking slots as 50% of the total number of rooms. Room measurements also get upsized in this rating: a double room should be 15 square meters in size while the bathroom should be at least 4 square meters.
Five star rating
Five star hotels must have receptionists who can speak at least three languages. Reception should be open around the clock, 24 hours a day. Single rooms must be 9 square meters and double rooms must be 16 square meters to be considered as five star quality.
https://www.touritalynow.com/italys-hotel-star-ratings/
I can not search for the actual décret, not speaking Italian. Assuming this is correct, then the bar is very low and could explain the rating of the MGallery or the Mercure Coliseum.