Embassies have seen a "wave of interest" in passport and citizenship inquiries during the week after Britain voted to leave the European Union.

Polish, Italian and Canadian embassies reported increased levels of interest since the Brexit side claimed victory, while Ireland's Post Offices ran out of passports after a surge in demand.

Poland's embassy in London said its consulate had received at least 200 emails and 600 phone calls regarding Polish citizenship and passports in the six days after the referendum vote, mainly from people with Polish origins.

A spokeswoman said: "There is a wave of interest in getting Polish passports.

"Normally monthly we get around 10 emails and calls regarding this issue. After the referendum, since last Friday, they have had around 250 inquiries daily."

These requests were mainly from British citizens with Polish heritage but also from married couples where one spouse was Polish, especially when the pair had children, she said.

Italy's embassy said its two consulates in London and Edinburgh had received at least 500 emails about obtaining Polish citizenship since Friday June 24, the majority of them from British nationals with Italian ancestry who specified the Brexit vote as motivation.

"They are applying because they have the right to, but this is the thing that pushed them," a spokesman said.

This was a "huge increase" from the norm, he said, adding that the consulates received 446 emails requesting citizenship following marriage in the first six months of 2016.

The Canadian embassy said there was a 325% increase in UK users accessing its Immigration, Refugees and Citizenship Canada website on June 24 - the day after millions went to the polls to cast their votes.

The weekend saw a 75% increase in traffic, and visits were up 60% on Monday to Wednesday compared to the average daily traffic from the previous week.

Numbers have since been slowly tailing off, suggesting the initial spike was triggered by uncertainty in the immediate aftermath of the referendum vote.

Visits to the website could be for purposes other than emigration, the embassy noted.

Meanwhile, Ireland's Department of Foreign Affairs had to appeal for calm after Post Offices ran out of Irish passport applications in the wake of the referendum result.

Dublin's Foreign Affairs Minister Charlie Flanagan warned an "unnecessary surge" was threatening to have a significant impact on the passport service and could hit those who urgently need one.

Calls have been made to open Irish passport offices in Belfast and Londonderry so that Northern Irish citizens, 56% of whom voted to remain in the EU, can apply.

The US embassy said it was too early to tell if Brexit would have an impact on citizenship applications, while other embassies did not respond to the Press Association's requests.