"I would like to call on them so that they can hear us today", he said. "The latest actions of Great Britain speak against such [a possibility], in particular their direct and official accusations of preparing terrorist attacks voiced against the leaders of our country. We'll see in the near future", he added.
The two men accused by the United Kingdom of carrying out a nerve agent attack have been identified and are civilians, not criminals, the Russian president Vladimir Putin has said.
British authorities have said that a European arrest warrant has been issued for the two Russians, who they suspect were using aliases.
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After the poisoning, Britain and more than two dozen other countries expelled a total of 150 Russian spies working under diplomatic cover.
Prosecutors announced charges against Alexander Petrov and Ruslan Boshirov for trying to kill Russian former double agent Sergei Skripal and his daughter Yulia with Novichok in the city of Salisbury on March 4.
Mr Skripal and his daughter Yulia were left critically ill after being exposed to the military grade nerve agent Novichok.
"Of course we have checked out who these people are", Mr. Putin said at a forum in Vladivostok in response to a question from a reporter.More news: Australian Newspaper Doesn't See How This Cartoon of Serena Williams Is Racist
Britain's security minister, Ben Wallace, said on September 6 that Putin "ultimately" bears responsibility for the poisoning because "it is his government that controls, funds, and directs the military intelligence". Russian Federation has repeatedly denied any involvement.
In response to the charges last week, the Russian foreign ministry said that the names and the photographs of the accused "mean nothing to us".
UK Home Secretary Sajid Javid has warned the men, thought to be aged about 40, will be caught and prosecuted if they ever step out of Russian Federation.
British Home Secretary Sajid Javid said on September 9 that Britain will catch the two men and bring them to prosecution if they ever step out of Russian Federation.More news: Fans gutted for Luke Shaw after horrific head injury during England match
"If we do actually see these two men in front of TV cameras or sitting down with journalists, being quizzed on what this was all about, it would be interesting to see what their explanation is".