Both countries have traded strikes on Saturday, the latest escalation in a conflict triggered by a massacre in April that India blames on Pakistan.
Pakistani Foreign Minister Ishaq Dar still warned that if India launched any strikes, "our response will follow".
Dar told Pakistan's Geo News that he also conveyed this message to US Secretary of State Marco Rubio when he contacted him after speaking to New Delhi.
"We responded because our patience had reached its limit. If they stop here, we will also consider stopping," he said.
India said it targeted Pakistani military bases after Islamabad fired several high-speed missiles at Indian air bases in the country's Punjab state early on Saturday.
Pakistan earlier said it intercepted most missiles targeting three air bases and that retaliatory strikes on India were under way.
Indian Colonel Sofiya Qureshi, at a news conference in New Delhi, said Pakistan also targeted health facilities and schools at its three air bases in Indian-controlled Kashmir.
"Befitting reply has been given to Pakistani actions," she said.
Rubio spoke to his Indian counterpart S Jaishankar and emphasised that "both sides need to identify methods to de-escalate and re-establish direct communication to avoid miscalculation", State Department spokeswoman Tammy Bruce said, and offered US support to facilitate "productive discussion".
Wing Commander Vyomika Singh, who was also present at the news conference, said India was committed to "non-escalation" provided that Pakistan reciprocated.
However, Pakistani ground forces were observed mobilising towards forward areas, she said, "indicating an offensive intent to further escalate the situation".
"Indian armed forces remain in a high state of operational readiness," she said.
Singh said Indian armed forces carried out "precision strikes only at identified military targets in response to Pakistani actions", which included technical infrastructure, command and control centres, radar sites and weapon storage areas to ensure "minimum collateral damage".
She said Pakistan had overnight launched several high-speed missiles targeting multiple air bases and civilian infrastructure in the northern Indian state of Punjab.
"All hostile actions have been effectively countered and responded to appropriately," she said.
Foreign Secretary Vikram Misri rejected Pakistan military's claims that it had destroyed several air force stations in India and caused serious damages to artillery depots, military establishments and critical infrastructure, including power stations.
The Pakistani military said it used medium-range Fateh missiles to target an Indian missile storage facility and air bases in the cities of Pathankot and Udhampur.
The army's spokesman, Lieutenant General Ahmad Sharif, said Pakistan's air force assets were safe following the Indian strikes, adding that some of the Indian missiles also hit India's eastern Punjab.
State-run Pakistan Television reported that Prime Minister Shehbaz Sharif had convened a meeting of the body responsible for overseeing the country's missile program and other strategic assets.
Tensions between the nuclear-armed rivals have soared since an attack at a popular tourist site in India-controlled Kashmir left 26 civilians dead, mostly Hindu Indian tourists, on April 22.
New Delhi has blamed Pakistan for backing the assault, an accusation Islamabad rejects.
India and Pakistan have traded strikes and heavy cross-border fire for days, resulting in civilian casualties on both sides.
The Group of Seven nations, or G7, urged "maximum restraint" from India and Pakistan, warning that further military escalation posed a serious threat to regional stability.
