Interior Minister Mari Rantanen (Finns) said on Monday that Finland is ready to help Greece combat wildfires, but that so far the Ministry of the Interior has not yet received any such request from Greece.
Last July some 50 Finnish firefighters went to Greece to assist in extinguishing wildfires.
Meanwhile more Finns are filing voluntary travel declarations with the Ministry of Foreign Affairs about trips to the Greek islands.
The number of notifications has risen by some 400 in two days to around 1,100.
About 50 Finnish nationals have filed notifications of travel to the Greek island of Corfu, where forest fires prompted nearly 2,500 people to evacuate late on Sunday and early Monday.
The Finnish Foreign Ministry recommends that citizens file such notifications to facilitate contacts in case of crises. The number of such declarations typically rises when a destination country is in turmoil or facing emergencies such as the ongoing forest fires.
More Finns were being evacuated from fire-ravaged Rhodes on Monday. Five planeloads of returning tourists were expected to land at Helsinki Airport. Only one return flight, flown by Norwegian, had been cancelled.
On Sunday, all five scheduled flights from Helsinki to Rhodes took off as usual. The latest departure took off more than two hours late, because Finnair changed the aircraft to a larger model so as to be able to bring home more Finnish tourists than planned on the return trip.
On Monday, the Finnish flag carrier plans two flights carrying vacationers to Rhodes, where temperatures are expected to remain above 30 degrees Celsius this week.
Finnair's next flight from Helsinki to Corfu is scheduled for next Saturday.
Aurinkomatkat, a tour operator owned by Finnair, has cancelled all trips to fire-affected Lindos in Rhodes until the end of August, but is still taking holidaymakers to other destinations on the island. Another package tour firm, Tui, has cancelled all trips to Rhodes until at least Tuesday.
About 120 Aurinkomatkat customers have been evacuated from the Lindos area. Most of them returned to Finland on Sunday, according to Finnair communications manager Mari Kanerva.
"The remaining 30 or so evacuees will be brought in today and tomorrow," she told Yle on Monday.
Tjäreborg, another tour operator, has cancelled flights to Lardos, Lindos and Kiotari until July 30. The firm is not taking tourists to Peskos either, according to Tjäreborg country manager Jessica Vahtera.
"Flights to Rhodes on Wednesdays and Sundays will be flown normally though," she said.
"About 40 of our customers came back to Finland yesterday, while five people continue their vacation in Rhodes," Vahtera added.