Genel was formed last year when former BP Chief Executive Tony Hayward and financier Nathaniel Rothschild's bid vehicle bought Turkey's Genel Enerji.
Hayward, now Genel CEO, has said that the company wanted to diversify and that its Turkish background lent it a natural advantage in the North African region.
On Tuesday, it splashed out around $450 million on part of Heritage Oil's stake in a gas discovery in Kurdistan.
Thursday's deals were announced alongside Genel's results for the six months to end-June. It ended the period with a net cash pile of $1.8 billion and said it had earmarked around $1 billion to buy further assets.
With revenues for the first half of $123 million, it retained its guidance for full year sales of $250 million to $300 million.
Average production of 40,000 barrels of oil per day was still expected, it said, though that could rise if it is able to continue exporting from Kurdistan throughout 2012.
Crude oil exports from Kurdistan were halted in April due to a payment dispute between Iraq's central government and the autonomous northern region, but resumed at the beginning of August.