Flights to and from Turkey are returning to normal after 294 people were killed in the attempted military coup.
The Foreign Office said that, apart from Marmaris, the coastal resorts didn't appear to be significantly affected but urged people to "exercise vigilance in resort areas".
Britons were advised to stay indoors following gunfire and explosions in Ankara and Istanbul as the unrest began to unfold on Friday night.
British Airways cancelled all flights to and from the country on Saturday, but the airline said flights were now taking off again.
The Foreign Office said the security situation in the country "remains potentially volatile", adding that security operations were taking place and there were reports of gunfire.
Advice on the Foreign Office website said: "Security operations to detain alleged perpetrators continue across the country, with reports of gunfire.
"We are aware of such action in Konya, Marmaris, Van and at Sabiha Gokcen airport in Istanbul (which remains open and operating as normal). You should continue to exercise caution.
"Apart from Marmaris, the coastal resorts do not appear to be significantly affected at present. You should check with your airline or tour operator before travelling to the airport. Continue to exercise vigilance in resort areas."
It added: "In Ankara and Istanbul we advise you to avoid public places, in particular demonstrations, and remain vigilant. Take sensible precautions if you are in the vicinity of any military or security forces. Roadblocks are in place in some areas."
A British Airways spokeswoman said flights would be operating on Monday, adding: "Our flights to Turkey have resumed but we recommend that customers visit ba.com to check the status of their individual flight."
Thomson and First Choice flights to Dalaman, Antalya, Izmir and Bodrum are operating as normal.
Airline easyJet also flies from the UK to Dalaman, Antalya, Izmir and Bodrum, and said: "Current advice from the British authorities is to continue our flying programme. This will be kept under continuous review."
On Saturday, Thomas Cook had been advising customers to "stay in their hotels until further notice", but a later statement from the company said their flight and holiday programme was operating as normal and customers are enjoying their holidays.
The UK's largest travel association, Abta, said the situation remains "fluid", adding: "The vast majority of British travellers to Turkey will fly directly to the beach resorts on Turkey's south coast which are hundreds of miles away from Istanbul and the capital Ankara."
Abta estimates that there are currently 50,000 people on holiday with its members in Turkey, while the Foreign Office said more than 2.5 million British nationals visit Turkey every year.
But the tourism industry in Turkey has taken a hit due to recent terror attacks and the country's proximity to Syria.