The Communist Party of India (CPI) also hit out at Pakistan for showing "adamant attitude" after it refused to accept the world body's decision.
"The CPI welcomes the ICJ's verdict staying the execution of Jadhav by Pakistan, though the final verdict is yet to be pronounced," it said in a statement.
The CPI termed as "highly objectionable" the stance Pakistan took after the ICJ passed the order yesterday and condemned the neighbouring country's stand of denying consular access to Jadhav.
Pakistan's foreign office had yesterday said it does not accept the ICJ's jurisdiction in matters related to national security after the UN court stayed Jadhav's execution.
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It also hit out at India, saying the country has been "trying to hide its real face" by taking the case of Jadhav to the ICJ.
Jadhav, 46 a former Indian Navy officer, was sentenced to death by a Pakistani military court on charges of espionage and subversive activities after which India approached the highest UN judicial body with the plea to stay his execution.
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