Russian MPs spoke out and fans launched a Twitter campaign after the European Union slapped sanctions on a popular singer often compared to Frank Sinatra.
The UN Security Council plans to adopt a resolution next week aimed at halting funding to Islamic State militants from oil, antique trafficking and ransoms.
The White House said it was "monitoring closely" events in Greece, where a new hard-left government has vowed to reopen the terms of a massive financial bailout.
Iran warned the US Congress against imposing new sanctions, saying this would lead to a collapse of negotiations over Tehran's controversial nuclear programme.
President of Kazakhstan Nursultan Nazarbayev has discussed the situation in Ukraine as well ask sanctions against Russia during a phone call initiated by the American President Barak Obama.
US President urged Congress not to impose new sanctions on Iran over its disputed nuclear program, threatening to veto any such legislation that lands on his desk.
French President Francois Hollande said Monday that biting Western sanctions against Russia should be lifted if progress were made in resolving the Ukraine crisis.
The US rolled out new sanctions against Russian officials Monday under its "Magnitsky" law, named after a Russian whistleblower who died in a Moscow prison in 2009.
Kazakh President Nazarbayev says anti-Russian sanctions do not directly affect Kazakhstan's economy, but all the additional developments are closely monitored.
US President Barack Obama imposed sweeping sanctions on Russia-annexed Crimea with an executive order prohibiting American exports of goods to the contested peninsula.