The UK Foreign Office has said it is considering a request from Russia to see Yulia Skripal over the Salisbury poisoning.
An FCO spokeswoman said: “We are considering requests for consular access in line with our obligations under international and domestic law, including the rights and wishes of Yulia Skripal.”
The Russian embassy in London tweeted on Friday that they “insist on the right to see her”.
It posted: “Good news as Yulia Skripal is reported as recovering well.
“We insist on the right to see her, in accordance with the 1968 Consular Convention.”
On Friday, the Russian foreign ministry ordered Britain to reduce the number of diplomats in Moscow down to the same amount that Russia has in London as the row over the attempted assassination of a Russian spy in Salisbury continues.
The UK expelled 23 Russian diplomats after Sergei Skripal, 66, and his daughter Yulia were allegedly exposed to the nerve agent Novichok.
So far, more than 150 Russian diplomats have been ordered to return home by countries including the US, Germany, France and Canada.
Russian foreign minister Sergei Lavrov said Moscow would retaliate by expelling the same number of diplomats that each country had ejected.
The ministry said it summoned the British ambassador on Friday following the “provocative and unsubstantiated actions by Britain, which instigated the expulsion of Russian diplomats from various nations for no reason”.
It was reported that the daughter of the Russian double agent had regained consciousness on Thursday.
Yulia Skripal was left critically ill when allegedly exposed to Novichok on March 4 in Salisbury, Wiltshire.
She is now said to be “improving rapidly”. Her father, Sergei Skripal, remains in a critical but stable condition in hospital.
The BBC reports separate sources have verified Yulia is both conscious and talking.
The Metropolitan Police said traces of the nerve agent had been found at some of the other scenes detectives have been working at, but at lower concentrations.
Britain insists there is no plausible alternative explanation for the attack and has dismissed the series of suggestions emanating from Moscow as nonsense.
Around 250 counter-terrorism detectives continue to work around the clock on the investigation, which is expected to continue for months.
Officers are examining more than 5,000 hours of CCTV footage and 1,350 exhibits that have been seized, while 500 witnesses have been identified.