The location is not very shiny: at the other end of the tunnel at the Chain Bridge, but it surely is worth the walk through the ghastly tunnel (you could take the bus/taxi through it or climb over the hill of course).
The Alagút Bisztró and Café is a cosy Pub which seems to be mostly frequented by local middle class people. It has a large TV on one side of the bar showing a sports channel. If there is no major match on, they play unobtrusive lounge music. They have Wifi.
The menu is short (and available in English). Tonight it was even shorter than normal, because they were transitioning into another menu the waiter explained. Through a window behind the bar you can see the cooks preparing the food.
The waiter was a pierced young lady, yet friendly and attentive. As many waiters in Hungary, she was fast bringing menu and food, but shy in bringing and collecting the bill.
Apart from the standard draft and bottled beers, they also have their own (?) microbrews. I had the 6° 'bitter and honey'; quite good for a non-belgian beer.
Favorite Dish I had a delicious onion soup followed by a savory Camembert 'schnitzel' with apples, berries and rice.