Brits headed to Spain will have to quarantine for five days due to concerns over the spread of the Delta variant.
Health Minister Roberto Speranza announced the mandatory isolation period on Friday.
At the same time, Italy is lifting curbs on travellers from the United States, Canada, Japan and other European Union countries if they have a green pass showing they are vaccinated or recently tested negative.
A ban on people arriving from India, Bangladesh and Sri Lanka will remain in place, Mr Speranza added.
The minister said travellers from Britain would also have to be tested, but he did not say if the measures were being introduced immediately.
Italy is following in the footsteps of France, Austria and Germany, which have already introduced varying curbs on those entering from Britain.
On Friday, it was confirmed there had been a 79% increase in weekly reported cases of the Delta coronavirus variant in the UK, which was first identified in India.
The variant now makes up 91% of sequenced cases, Public Health England said.
Dr Jenny Harries, chief executive of the UK Health Security Agency, said the increase across the UK is being driven by younger age groups, many of whom have now been invited for a vaccination as the jab rollout extends to anyone aged 18 and over.
Hospital cases have also almost doubled, though most of those needing treatment have not had a vaccine.
The PHE data shows that 75,953 confirmed and probable cases of the Covid-19 Delta variant have now been found in the UK – up by 33,630, or 79%, on the previous week.
Of the 75,953, some 70,856 have been in England, 4,659 in Scotland, 254 in Northern Ireland and 184 in Wales.
The most recent data shows 99% of confirmed and probable cases of coronavirus across the country are the Delta variant.
Dr Harries said: “Cases are rising rapidly across the country and the Delta variant is now dominant.
“The increase is primarily in younger age groups, a large proportion of which were unvaccinated but are now being invited to receive the vaccine.”
The latest Office for National Statistics (ONS) figures show that around one in 520 people in private households in England had Covid-19 in the week to June 12.
This is up from one in 560 in the previous week and the highest level since the week to April 10.
Dr Harries said: “It is encouraging to see that hospitalisations and deaths are not rising at the same rate, but we will continue to monitor it closely.
“The vaccination programme and the care that we are all taking to follow the guidance are continuing to save lives.
“Please make sure that you come forward to receive both doses of the vaccine as soon as you are eligible. Don’t drop your guard – practice hands, face, space, fresh air at all times.”
The coronavirus reproduction number, or R value, is now between 1.2 and 1.4, according to the latest Government figures.