The Iraqi Air Force targeted an IS commander position south of Deshaisha, the statement read.
The Iraqi military aircraft have carried out new airstrikes in Syria and one of the strikes hit the position used by the commanders of the Daesh terrorist group, the Iraqi Prime Minister's office said on Sunday.
The Iraqi air force has since previous year carried out a number of strikes against the militant group in Syria, with the approval of the Syrian regime of President Bashar Al Assad and the US-led coalition fighting ISIS.
Abadi last month said he would "take all necessary measures if they threaten the security of Iraq", referring to the militants who just three years ago overran a third of Iraq.
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He said that IS group has suffered fiasco in both Iraq and Syria, but the complex situation in Syria and the ongoing conflict on the ground gave a breathing chance for IS in eastern Syria near the border with Iraq.
The latest bombardment was on April 19, as Iraqi F-16 jets targeted the jihadist group near the city of Hajin in coordination with the Syrian government.
Dushashiya is in a desert region of Syria's Hasakeh province, where a US-backed Kurdish-led alliance is fighting the jihadists.
But the extremist group remains a threat from pockets along the border with Syria and has continued to carry out bombings across Iraq.