The trio consists former ministers in Taliban government Mullah Salam Hanifi and Mullah Jan Mohammed and ex-Taliban ambassador to Pakistan and Saudi Arabia Maulvi Shahabuddin Dilawar.
Sources in Taliban and Pakistan officials confirmed that the delegation arrived this week and held meetings with "relevant quarters".
This is the first high level contact by the militants with Pakistan since Taliban held at least two round of talks with officials of Afghan government in Qatar. Pakistan was not part of the talks.
Sources said that Pakistan was keeping the distance with the talks to let rebels and Kabul directly sort out their problems.
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But Islamabad is keeping pressure on rebels through different ways including arresting some of their leaders.
Those recently arrested include Ahmadullah Muti alias Mullah Nanai. He served as intelligence chief of slain Taliban chief Mullah Akhtar Mansoor. Nanai was arrested from south western province of Balochistan.
Their anger was reflected in a letter penned down by former head of Qatar office of Taliban, Tayyab Agha.
He addressed the letter this month to Afghan Taliban chief Haibatullah Akhunzada.
Among other things, Agha advised the Taliban chief to shift Afghan Taliban to Afghanistan to avoid any alleged interference by Pakistani authorities.
He said Pakistan would also get benefits of it as would save itself from the allegation of supporting Taliban.
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