The move came almost three months after the Prime Ministers of the two countries decided in New York that the DGMOs should meet to find ways to reduce tensions on the LoC.
"Pakistan Army DGMO has extended an invitation to his Indian counterpart for the meeting on December 24," a senior official of the Pakistan Army's media arm said.
The Foreign Office said in a statement that the invitation was extended to "strengthen the mechanisms to ensure ceasefire on the Line of Control".
The invitation was extended by the Pakistani DGMO soon after Prime Minister Nawaz Sharif chaired a meeting of the Cabinet Committee on Security to discuss national security issues.
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The DGMOs of the two sides have not held any meetings in the past few years. Indian DGMO Lt Gen Vinod Bhatia and his Pakistani counterpart Maj Gen Amir Riaz spoke on their hotline on October 25 and 29.
On September 29, Prime Minister Manmohan Singh and his Pakistani counterpart Nawaz Sharif agreed on a meeting between the DGMOs when they held talks on the margins of the UN General Assembly in New York.
However, the meeting was not scheduled and both sides did not give reasons for the delay.
The already strained bilateral relations took a hit early this year when two Indian soldiers were killed by Pakistani troops along the LoC in January.
Fierce exchanges of fire on the ceasefire line claimed the lives of soldiers on both sides. Both countries accused each other of violating a 2003 ceasefire agreement.