We enjoyed our stay at the Euler, and especially liked the location. It is just a few steps from the main railway station, so ideal for people arriving by train. I must agree with previous comments about the air conditioning - not sure how it worked, but if you fiddled about with the bewildering buttons and sliders, the fan pumped out a bit of warm air. Air conditioning it is not!
One other warning, this hotel has hard-core porn on the TV pay channels. Even if you don't pay, you see plenty before the TV demands money. I had a child with me, so I immediately went back to the reception to ask for it to be blocked. I was told by the night staff that this was impossible. Next morning I complained again, and the new staff fiddled with the computer and worked out how to block it. Euler, if you are reading this, please assume that ALL parents would want this channel blocked if they have children with them, so please turn it off before they get to their room.

Our rooms were spacious and splendid. The bathrooms are gigantic and immaculate, but there is some difficulty for older guests in getting in and out of the shower. All services, especially dining room and room service were outstanding, although we did have some language problems at the front desk. The location so near the tram terminal makes noise a problem early in the morning, made more so by a less than efficient airconditioning system that required open windows for cooling. The plus side of the location is the ease of access to about any area of the city via the superb public transportation. We would definitely stay at the Euler again if we have the opportunity.

Stayed at the Euler hotel on business. Regular business travellers will know that most hotels and hotel rooms are exactly the same wherever you go but this place is very different. It has a five star Swiss rating but would probably get a three in the UK. Excellent location and one of the best bars I've ever sat at as it seems to attract a host of strange characters including the female pianist. The rooms are basic but clean and if you're at the front the trams rattling by do make a bit of noise but the overal charm and atmosphere of the place allows you to forgive some of its imperfections.
Highly recommended.

Booked the sister-hotel, the Central. On arrival I was upgraded to the main Hotel Euler without any additional charge. Not only that, I had booked room only but was given breakfast the following morning; again, free of any additional charge.
Remember the City Tax applies to all Basel Hotels. CHF3.60 per day - but in return you get a free travel ticket that covers all public transport - a great way to see the city.
The Hotel Euler is in the perfect location for exploring the city. Adjacent to the Bahnhof SBB railway station, it is also at the end of the No.50 bus route that brings you straight from the airport to within 50 yards of the front door.
The Hotel Euler has character. It is an older hotel that is clean and comfortable.
If you are going to Basel to spend a week looking at the walls of the hotel and savouring the facilities of that hotel (or if you are an American), stay at the Hilton across the road. If you are staying for a night or three, stay at the Hotel Euler. The staff are friendly and multilingual. The food is good. The service is excellent. But most of all, look at the location of the Hotel.