She affirmed that the G20 will continue discussions on policy issues related to the common framework and periodically provide appropriate recommendations.
Critics say the Belt and Road plan is a Trojan horse to increase China's influence and Meloni is under pressure to exit, but hopes to do so without inflaming tensions.
Modi proposed a virtual G20 Summit by November end to take stock of the suggestions and decisions made at the leaders' summit that concluded here on Sunday.
India pressed members to agree a common statement on Saturday that denounced the use of force for territorial gain, but shied away from direct criticism of Russia.