The two-story house at the intersection of Povarskaya Street and Trubnikovsky Lane was likely built before the 1812 fire. From 1803, A. S. Nebol'sina, the daughter of the Ryazan landowner S. V. Muromtsev, lived here; she was married to Moscow's vice-governor V. A. Nebol'sin. This house was known as the first hospitable house in Moscow, as noted by S. P. Zhikharev and S. N. Glinka. They remarked that during balls at the Nebol'sins, the entire Povarskaya Street was filled with carriages, and one could meet representatives of the entire Moscow nobility in the drawing rooms.

In the mid-19th century, the house acquired its modern appearance thanks to renovations by architect A. A. Avdeev for the new owner, A. I. Koshelev. The house received rounded corners with cast-iron balconies. Koshelev, hailing from a noble family, worked in the Moscow Archive of the Ministry of Foreign Affairs and was associated with the literary circle of Raich. Later, he and his associates founded the Society of Philomathy and began publishing the philosophical almanac 'Mnemosyne.' In his youth, Koshelev experienced unrequited love, and in 1835, he married O. F. Petrovo-Solovovo.

Until 1848, Koshelev was involved in wine leasing but later proposed to the Minister of Finance to replace this system with an excise tax. He also traded grain and was a supplier for the army and navy. In his estates, Koshelev developed a diversified economy, introduced advanced agronomic methods, and built schools. As a publisher, he released the magazines 'Russian Conversation' and 'Rural Improvement.' Since the 1840s, his house on Povarskaya hosted a literary salon attended by I. S. Aksakov, N. V. Gogol, P. Y. Chaadaev, and others. In 1858, S. G. Volkonsky and T. G. Shevchenko met here.

After Koshelev's death, the house passed to his daughter, D. A. Beklemisheva, who often hosted Countess S. A. Tolstaya. In 1884-1885, the interiors of the mansion were updated by architect P. S. Boytsov.

During the Soviet era, the building housed the Scientific Research Institute of Artistic Industry, which studied folk crafts and organized trade in products. In 1998, the building was transferred to the Federal Center for Industrial Development and the Interdepartmental Analytical Center.