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A senior official of the legal and treaties division of the External Affairs Ministry will hand over the memorial.
Earlier, in its arguments before the court on May 15, India had expressed its fear that Pakistan could execute Jadhav even before the court gave its verdict. Pakistan had rejected India's request for consular access 18 times, which is a violation of the Vienna Convention.
After this, both India and Pakistan were asked to make their submissions before the ICJ.
Pakistan claims it arrested Jadhav, former Indian Naval Officer, in March last year from its restive Balochistan province, where the China-Pakistan Economic Corridor culminates.
India, however, maintains that Jadhav was kidnapped from Iran where he had business interests after retiring from the Indian Navy.