In statements after the meeting, Lambrinidis said they discussed a broad range of issues that included the financial crisis in Greece and the Eurozone, the Balkans, the situation in the Middle East with emphasis on Syria and Libya and Turkey's EU accession progress.
Concerning Turkey, the minister said he had an opportunity to outline the problems generated by the recent statements of Turkish Prime Minister Recep Tayyip Erdogan and Turkey's President Abdullah Gul, asking Britain to also exert pressure on Turkey to change and follow the dictates of Europe, rather than its own inclinations.
"It was a very constructive meeting in a very friendly climate and I hope to continue it when Mr. Hague visits our country in the coming months," Lambrinidis added.
Hague said his meeting with the Greek minister had been very productive and had covered some pressing issues, such as the crisis in the Eurozone.
He praised for the efforts of the Greek government and the sacrifices made by the Greek people, adding that Britain had a huge interest in a stable Eurozone.
Hague noted London's satisfaction with the Eurozone's agreement for a second bailout package for Greece on July 21 and said his talks with Lambrinidis also covered broader economic issues, such as the importance of developing trade within Europe and outside European borders for the benefit of European economies in the future.
They also discussed the diplomatic effort for peace in the Middle East, with Hague expressing London's concern over the situation in Syria.
On Monday morning, Lambrinidis gave an interview to the BBC programme "Hard Talk".