There are not many eateries in the immediate vicinity of the Hilton Moscow Leningradksaya, except the rather over-priced and underwhelming cafes in or around the three railway stations. Walk about 20 minutes, however, and there are plenty of interesting dining options available.
Top-end
Kavkazskaya Plennitsa (36 Prospekt Mira) is a very up-market Georgian restaurant serving gourmet versions of this popular, spicy cuisine. Sirena (15 Bolshaya Spasskaya Ulitsa) is a maritime-themed restaurant serving fresh European fish and seafood.
Mid-range
Barkas (30 Prospekt Mira) is a beer restaurant and club serving interesting modern Russian cuisine in an old greenhouse overlooking the Moscow University Botanical Gardens. For traditional Russian cuisine, try Na Melnitse (24 Sadovaya-Spasskaya Ulitsa), which has a folk-themed interior and summer terrace.
Value
Aromatnaya Reka (11 Tokmakov Pereulok) is a very authentic and excellent value Vietnamese restaurant. Listya (47 Myasnitskaya Ulitsa) is an airy two-storey cafe serving inexpensive European and Japanese cuisine.