On 14 August 2013, Tregulova was appointed the director of ROSIZO, a state organization which manages exhibitions and cultural projects in Russia.

Generally, during her time in the Moscow Kremlin and ROSIZO, she developed a solid reputation of an art curator, both in Russian and abroad.

The official explanation was that the visitor infrastructure of the museum was insufficient;[4] unofficially media speculated that Lebedeva refused to support the Annexation of Crimea by the Russian Federation in public.

She organized a number of highly popular exhibitions, starting from the retrospective of Valentin Serov in 2016 that generated a long queue of visitors.

The demand met with anonymous rejection of museum workers and art historians in Russia, since the painting requires special treatment and needs to be kept in a closed environment.