Milyutinsky Lane, branching off from the wide Myasnitskaya Street, begins with a tall apartment building built in 1897. Previously, there was a small wooden house with stone wings opposite the now non-existent Church of St. Eupilus, owned by the merchant Avdotya Sonina. This quiet corner attracted the attention of the Petersburg merchant Sveshnikov, who often visited Myasnitskaya Street on business. In 1815, he settled here with his family.

The Sveshnikovs were a well-known family in the book world of the first half of the 19th century. The Sveshnikov brothers founded a publishing and bookselling firm in St. Petersburg. In 1810, one of them, Osip Leontyevich, moved to Moscow. He was a smart and far-sighted merchant, connected with the progressive figures of his time. Osip Sveshnikov cared not only about his income but also about the development of education and enlightenment. He was friends with many booksellers and writers, including the historian N.M. Karamzin. In Moscow, Osip opened stores on the book streets of Kitai-Gorod, such as Nikolskaya and Ilyinka. His shops sold works by authors such as K.F. Ryleev, A.A. Bestuzhev, N.M. Karamzin, F.N. Glinka, and D.N. Bantysh-Kamensky.

Among the residents of the Sveshnikov house were notable personalities. In the 1820s, the sisters Elena and Anna Matveyevna Borisova, actresses of the Maly Theater, lived here. Anna was a tragic actress, while Elena, one of A.N. Ostrovsky's favorite actresses, successfully played the roles of merchants, nannies, and matchmakers. Elena's husband, Konstantin Prokhorovich Kavaleryov, a former serf, was a comic actor and performed in opera and ballet theaters. He also lived in this house.

By the end of the 19th century, this quiet corner of Moscow took on a modern appearance. The property was purchased by the Moscow modernist architect Nikolai Grigoryevich Faleev, who built a solid five-story apartment building, later raised by two floors in the 1930s. In 1905, the owners of the house were Zinaida, Sofia, and Alexandra Alexeyevna Faleeva. In 1998, the house underwent a major reconstruction, once again becoming a luxurious apartment building in the center of Moscow. There are no more than five residential buildings left in the lane, and Faleev's house remains among them.