Both leaders described the situation in Turkey’s neighbours Iraq and Syria as “terrible”, with Mr Davutoğlu saying that Turkey and the United Kingdom would stand “shoulder to shoulder” in addressing the challenges facing Europe.
Mr Cameron said that at the top of the agenda was “the battle that we have fighting extremist terror and the terrible situation we see with Isil and also the need for transition in Syria”.
He said the Ukraine crisis and Turkey and the UK’s trade ties were also discussed during the meeting.
Mr Cameron said: “There’s a lot that we have to work on. The economic and business relationship is very strong, trade is growing, investment into each other’s countries is very positive and there’s lots to talk about on that front.
“We are both members of Nato and so we need to discuss the importance of standing up to Russia over Ukraine, I think it is very important.”
Mr Davutoğlu said the two countries enjoyed a “strategic co-operation against any type of threat against international and regional peace”, adding: “The future of our continent now faces many challenges: terrorism, racism, other types of challenges against our countries, Turkey and Britain, I’m sure will be shoulder to shoulder.”
The meeting was building on talks held between the two prime ministers and Turkish president Recep Tayyip Erdogan in Ankara last month.