This hotel appears to be managed by the same owners as Hotel Filippo, just along the road, and if you look on Tripadvisor for that hotel you will see that often guests are taken to Hotel Simone instead - we were. The hotel has its own website though and deserves a review.
We spent hours looking for a reasonably priced, clean hotel on the internet and if we return to Rome at least we won't have to repeat this - we would look no further than Hotel Simone. The lady who met us on arrival at Filippo walked us to Simone and spoke perfect English and was extremely friendly. The hotel, like in many reviews of Rome hotels, is not immediately obvious from the street as it is behind huge wooden doors and on the second floor. The number is clearly marked on the wall outside though and is not easy to miss.
There is an old fashioned lift to the second floor but it is perfectly serviceable. A coded entry gives access to the hotel, which looks like it has 6/7 rooms. Our room was presumably similar to the others and the first impression was of cleanliness - throughout our stay it was spotlessly clean on our return at night. The room contained a comfortable king bed, two chairs and a dresser on a polished wooden floor. The room was fully air conditioned (easily adjustable) and there was a flat screen satellite tv (limited channels for us but had BBC World News). There was also a mini bar, which was reasonably priced for Rome - we didn't use it but it was good for cooling the two bottles of complimentary water each day. The toilet/shower was behind a glass wall, with modesty blind if required, and consisted of a toilet, bidet, sink and shower. The shower was large - I am 6'5'' and had plenty of room. Liquid soap and shampoo were provided, with clean towels daily.
Situated one street away from Termini railway station we found the location to be excellent for commuting by foot, metro, bus or train - we walked almost everywhere. Breakfast was served in a cafe bar/restaurant in the station - we had coffee and whichever type of croissant you wished - a good start to the day - in a very clean place, with pleasant staff.
Access to the hotel was anytime - we were provided with a key to the door onto the street, a four digit code for the hotel door and a key for the room. It all worked well. There was also a coded safe box in the room, which we took advantage of.
Like other reviews of Rome I have read, we found the Termini area safe, but on first arrival it is understandable why people are not so sure. We never experienced any problems in this multicutlural area.
We paid Euro 384 for 4 nights during the English holiday period, which we thought was reasonable compared to some hotels we checked, and this hotel is fully recommended for the traveller who hasn't a big budget but wants somewhere safe, secure and clean. We would look no further next time.
We took the opportunity to have a day outside Rome and took the train from the Ostiense railway station to Bracciano (extremely cheap - about Euro 5 for two, each way) - a beautiful small, historic, castled town on the shores of Lake Bracciano - well worth a visit if you have time and the weather is good.