I'm a big fan of Landini Bros, as I eat here often. Mostly for business lunches and casual dinners with friends. I've also hosted private dinner events for my staff in the upstairs rooms, so I've experienced most of the service/food. Some people are put off by how dark it is inside but this is because Landini's stays (somewhat) true to how the restaurant would have looked/felt 200 years ago. The building is an historic building (brought up to code) so the old beam ceiling is low. White table cloths help, as do the waiter uniforms. The waiters are great, they really know the menu well, are usually pretty attentive and if they recognize you will greet you by name and give you a good table in the main room near the bar. The place can get a bit noisy on Thurs and Fri nights but conversation here is still much easier than, say, Café Milano in Georgetown.
The menu is extensive, and I would say it leans more toward southern Italian cooking versus northern Italian. Heavier red sauces, meaty pasta dishes abound. They almost always have excellent veal chops and you can basically get veal scallopini any way you want it (Marsala, picatta, etc.) same with the chicken. It's all good, if a bit rich at times. They also have terrific fish, I've never had a bad fish meal here, and during certain times of the year they have full sized scampi that they grill, head on, and serve over a bed of arugula. The branzino is typically good, and the gnocci is another dish they do very well. All in all I've rarely had a meal here that I didn't like. They also have lobster all the time, and they make a nice chilled lobster salad served with asparagus and avocado, it's basically half a Maine lobster on a platter but it's outstanding for lunch. The wine list is pretty good and not outrageously expensive but then again I wouldn't say there are any screaming bargains on it either. The wine prices are more or less "market correct" for the place.
I definitely recommend Landini's for business lunches/dinners, and for romantic evenings if you are in Alexandria. Would I drive here from the District for dinner versus eating at some of the great restaurants in the District - hmm, probably not. But if you are in Alexandria or Rosslyn, yeah, it's worth a visit.
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