The Russian Embassy in London has requested a meeting between its ambassador and Foreign Secretary Boris Johnson over the Salisbury poisoning.
An embassy spokesperson said it was “high time” for a meeting to discuss the investigation, as well as a “whole range of bilateral issues”.
Current interaction between the Russian Embassy and the foreign office was “utterly unsatisfactory”, they said.
The Foreign Office confirmed it had received the request.
Sergei and Yulia Skripal were poisoned with a toxic nerve agent called Novichok in Salisbury more than a month ago.
The UK government claims Russia is behind the attack but Moscow has denied all involvement.
In a statement sent to the BBC an embassy spokesman said: “We believe that it is high time to arrange a meeting between Ambassador Alexander Yakovenko and Foreign Secretary Boris Johnson.”
It added that the ambassador had already sent a note to the foreign secretary, and it hoped “the British side will engage constructively and that such meeting is arranged shortly”.
The Foreign Office said it would respond in due course.
The request follows criticism from the Russian Embassy after the British government’s refusal to grant a visa to Ms Skripal’s cousin, Viktoria Skripal, to visit the UK.
On Friday the Home Office said the application did not comply with immigration rules.
But the Russian Embassy said Sergei and Yulia “remain hidden from the public”.
“The stubborn refusal to cooperate, to provide transparency and to answer the numerous questions means Britain has something to hide,” an embassy spokesman said.
Viktoria Skripal later told the BBC she did not have enough money in her bank account to satisfy the visa requirements.