Thousands of people have been evacuated from homes and hotels on the island of Rhodes, according to Greece's fire service.
Private boats have joined the Greek coastguard in helping to pick up people from beaches on the east of the island.
Greek navy vessels are also reported to be heading to the area, which is popular with tourists.
Greece's deputy fire chief said the fires on Rhodes are the most difficult his service is currently facing.
Five helicopters and 173 firefighters are operating in the area, with three hotels in the Kiotari area reported to have been damaged by fire.
One British woman said she was evacuated from the hotel she was staying at with her sister and daughter, but was now stuck on a beach with hundreds of others in the severe heat.
"There's just a small shack here and there's so many of us," Becky Mulligan told the BBC. "There's children, it's the middle of the day, we are just stuck here with no help, it's disgusting."
Simon Wheatley said ash had begun falling onto his pizza when he was eating.
"The hotel said this was normal and there was no need to worry as they were in contact with the authorities about the situation," he told the BBC.
His hotel was later evacuated.
"We saw that a beach bar that we were at just the day before had burnt down. The smoke was so bad. We had to leave two bags of luggage."
Firefighters from Slovakia arrived on Rhodes on Saturday to help local teams battling the fires.
"The situation in Rhodes is serious and extremely difficult. Due to the strong wind and quickly changing direction of the fire, firefighters had to withdraw and move," Slovak Fire and Rescue Services posted on Facebook.
Part of the Slovak rescue team had moved to the coastal resorts to help evacuation efforts there, they said.
Greece is facing further intense heat this weekend, with meteorologists warning that temperatures could climb as high as 45C (113F).
It could turn into Greece's hottest July weekend in 50 years, one of the country's top meteorologists has said.
Firefighters are continuing to battle dozens of wildfires across the country. An area west of Athens is among the worst-hit areas, along with Laconia in the southern Peloponnese and the island of Rhodes.
And authorities are warning of a very high risk of new blazes as the heat continues to rise.
People have been advised to stay home, and tourist sites - including Athens' ancient Acropolis - will be shut during the hottest parts of the next two days.
Greece - like a number of other European countries - saw a prolonged spell of extreme heat earlier this month.
The latest heatwave comes at one of the busiest times for the country's tourism industry.
Latest Stories
-
Tullow finalises key step in landmark Ghana carbon offset project
21 mins -
Best-selling novelist Barbara Taylor Bradford dies
27 mins -
Triumph over legal cases seals Trump’s comeback
43 mins -
US woman jailed for fatally shooting neighbour through door
54 mins -
Fidelity Bank’s Chief Risk Officer advocates for integrated risk management and innovation
1 hour -
Telecel Ghana’s Ashanti Month: A celebration of sports, culture and community
2 hours -
Air Quality and Pollution: A neglected crisis in Ghana’s 2024 manifestos
2 hours -
Macy’s employee hid more than $130m in delivery expenses
2 hours -
Trump vows day-one tariffs on Mexico, Canada and China
2 hours -
US universities warn foreign students on Trump immigration crackdown
2 hours -
Feed the Future Resilience in Northern Ghana announces $3m grant to support farmers
3 hours -
A mother’s luck and fresh start for winners of extended Telecel More Money Promo
3 hours -
20-year-old labourer remanded for stealing
3 hours -
‘The election is not a done deal’ – Hackman Owusu-Agyeman warns NDC
4 hours -
‘Even if you bring Jesus as EC Chair, NDC will complain’ – Hackman Owusu-Agyeman
5 hours