About 20 people feared to have drowned on a boat that sank off Libya late last week were rescued by smugglers and are being held at an unknown location, an embassy official said.
The group includes eight Pakistanis, one who called officials to say smugglers were holding him in a locked room with other survivors.
Previously, three people were known to have survived after a boat carrying more than 90 sank off Zuwara.
The bodies of 12 Pakistanis who died in the incident were recovered and brought to a morgue in Tripoli awaiting repatriation.
The victims are from Gujrat in northern Pakistan, according the embassy official, who asked not to be named because he was not authorised to speak to the media.
Thirty-two Pakistanis are believed to have been aboard and the number who died is still unclear, he said.
Libya is the main gateway for migrants trying to cross to Europe by sea, though numbers have dropped sharply since July as Libyan factions and authorities – under pressure from Italy and the European Union – started blocking departures.
Zuwara was a top departure point until a local backlash against smuggling in 2015.
So far this year, just over 3,500 migrants crossed from Libya to Italy, about 60% fewer than during the same period last year, according the Italian Interior Ministry.
Pakistanis are the third largest national group, after Eritreans and Tunisians.
Pakistanis resident in Libya for decades, many working in the gold business, tried to leave because of the collapse in the value of the Libyan dinar and a severe liquidity crisis. Others have found their way to Libya through smuggling networks.