"The Indian request for consular access is under consideration," Foreign Office spokesman Nafees Zakaria said.
"It may be pertinent to mention that in the case of Pakistan and India, there is an agreement on consular matters. The request would be considered in view of the relevant clauses of the agreement," he said at the weekly briefing.
Kulbhushan Yadhav, who was reportedly arrested in Balochistan after he entered from Iran, has been accused by Pakistan of planning "subversive activities" in the country.
He said Pakistan was "concerned at the subversive activities of RAW" against it and its interests from various locations in the region.
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"We believe in living in a friendly and peaceful environment with all our neighbours, which can lead to the betterment of our peoples," he said.
He said the probe in the spy case was in process and law enforcement agencies were making every effort to apprehend all individuals involved in subversive activities in Pakistan.
India has acknowledged Yadav as a retired Indian Navy officer, but denied the allegation that he was in any way connected to the government.
Zakaria said Pakistan had briefed the P5 members, EU and others on the issue and requested these countries to raise the issue of RAW's alleged involvement in Pakistan with India.
To a question, Zakaria said that the Joint Investigation Team (JIT) visited India in context of the Pathankot terror attack probe.
"Investigations are underway and the JIT is evaluating the information shared by the Indian side. Further queries on this issue may be directed to the Ministry of Interior," he said.
"The Indian side at the highest political level had agreed to share the outcome of the investigations with us. However, we are still waiting. We will keep on raising the issue with them," he said.
Later, a Foreign Office spokesperson issued a statement,
saying the remarks attributed to Aziz was "absolutely incorrect."
"The Adviser had said that the investigations regarding the network of Kulbhushan Jadhav are ongoing and the dossier shall be completed upon conclusion of the investigation," the statement said.
Aziz also "condemned the continued Indian interference in the internal affairs of Pakistan and urged the international community to take immediate notice of the violation of international law by India," it added.