In the 1990s, Soloviev worked as an administrator at the Leningrad branch of the Soviet cultural fund, commercial director of the Vesuvius LLP, and as president of the Interregional Fund for European Cooperation and Development.

In 2000, he was elected deputy of the municipal council of the Admiralteysky District of Saint Petersburg.

From 2004 to 2007, Soloviev served as deputy and as head of the Sennoy Municipal Okrug.

In 2016, he was re-elected for the Legislative Assembly of Saint Petersburg of the 6th convocation.

Since September 2021, he has served as deputy of the 8th State Duma from the Saint Petersburg constituency.