On Thursday, India's Prime Minister Narendra Modi inaugurated the G20 foreign ministers' meeting in New Delhi by urging nations to focus on the common ground during divisive times.
"We should not allow issues that we cannot resolve together to come in the way of those we can," he said in his address.
Russia's invasion of Ukraine is the main topic of discussion at the gathering of 19 countries and the European Union.
There is concern among Western delegates that China is considering supplying arms to Moscow. They are expected to use the summit to discourage Beijing from intervening in the war, which began more than a year ago.
Host India has refused to condemn the Russian invasion and has called for talks to de-escalate the conflict.
Borrell told reporters that "the success of the meeting today will be measured in respect to what we will be able to do on that." He is scheduled to meet Chinese Foreign Minister Qin Gang on the sidelines of the gathering.
Chinese state news agency Xinhua last week quoted top diplomat Wang Yi as saying Beijing was willing to "strengthen strategic coordination" with Russia after meeting with Russian Foreign Minister Sergey Lavrov and President Vladimir Putin in Moscow.