The list of investors that sent the petition to Medvedev included Russian technology giant Rusnano, which, together with Finnish developer Fortum, is developing around 1GW of wind capacity in the country.
Italian firm Enel, which won 291MW of capacity in last year's tender, is also a signatory.
Until 2024, the development of wind projects in Russia will be supported by top-up payments from the wholesale energy market through power supply contracts.
However, global wind power producers operating in Russia believe wind energy may not be able to compete with traditional generation for the next 10-15 years, which means they may face difficulty selling the power and experience low demand from consumers.
According to petitioners, support for domestic wind power projects should be extended for the next 17 years.
Extending the program until 2035, according to the investors, will allow the market to better develop in order to compete with other forms of generation, and fully utilise the manufacturing supply chain.
A government spokesman said the prime minister will consider the petition over the coming weeks.