MOSCOW, March 9 (Reuters) - Russian President Vladimir Putin, in a telephone conversation on Monday with U.S. President Donald ‌Trump, put forward proposals for a quick settlement of ‌the conflict around Iran, Kremlin foreign policy aide Yuri Ushakov said.

Ushakov, giving an ​account of the conversation to reporters, said the two leaders also discussed the conflict in Ukraine and noted that Russian gains should prompt Kyiv's negotiators to move towards a settlement.

He described the entire ‌discussion as "very substantial" and ⁠said it would "likely have practical significance for further work between the two countries".

Ushakov said Putin "expressed several ⁠thoughts aimed at a quick political and diplomatic end to the Iranian conflict, including contacts that have taken place with leaders of ​Gulf states, ​the president of Iran and ​leaders of other countries".

He ‌said Trump "offered his assessment of developments in the U.S.-Israeli operation. Let me say that a very substantial and, without doubt, useful exchange of ideas took place."

Ushakov said Trump believed it was in the U.S. interest to see a "rapid end to the conflict ‌in Ukraine with a ceasefire and ​a long-term settlement".

Developments in Ukraine, he said, ​were characterised by "Russian troops ​advancing quite successfully. This, as was noted, is ‌a factor that should prompt ​the regime in ​Kyiv to finally go down the path of negotiating a settlement to the conflict".

Ushakov also said the two presidents ​also discussed the ‌situation in Venezuela in the context of global oil markets.

(Reporting ​by Dmitry Antonov; writing by Vladimir Soldatkin, Editing by ​Ron Popeski and Alistair Bell)