Thaks Andrea, lovely stay!
Andrea lives in the same building so was there to meet us on arrival, and was contactable all stay. The flat was exceptionally clean and spacious, niclely decorated, had air conditioning and with views on the colosseum as mentioned. There was an large array of short books covering famous artists on the shelf. The kitched had all we needed and the building had lift access. There is an extremely nice wine shop/bar with very helpful staff one corner south.
The little neighbourhood (2 mins East-Sout/East of the Colosseum) had a few local bars and nice restaurants, but was not overly noisey at night (especially from the 4th floor). We could walk everywhere we wanted to go within 30-40 mins (though longer if you get distracted by numerous artiofacts en route), though you could have used the Metro outside Colosseum if wanted.
Would certainly recommend!