Hasina arrived in front of the Bangladesh Nationalist Party (BNP) chief's upmarket Gulshan office here but the gates were not opened while she waited outside for a few minutes.
"She (Hasina) returned from the gate," an official of the prime minister's press wing said.
The premier's motorcade drove away while the gate of Zia's office was kept under lock from inside.
Ahead of Hasina's visit, Zia's close aide Shamsur Rahman Shumul Biswas hinted that she was unlikely to meet the premier as doctors sedated her since she was not feeling well.
Zia's youngest son Arafat Rahman Koko, 45, died in Malaysia after suffering a cardiac arrest in the afternoon.
"She broke all protocols. She came here as the prime minister, a leader and as a mother to console a mother who had lost her son," said Hasina's Information Affairs Adviser Iqbal Sobhan Chowdhury.
The two leaders last met in 2009 when Zia visited Hasina after the death of Hasina's her husband Wazed Mia.
They, however, exchanged hot words over phone in 2013 when Zia rejected Hasina's invite to a dinner for talks ahead of the January 5, 2014 polls, eventually boycotted by BNP.
Hasina's decision to visit Zia came as the ex-premier's aides said that she fell ill at her Gulshan office after receiving Koko's death news.
He said Zia "has been crying and has not been taking any visitors ever since she heard the news this afternoon".
The death came as Zia is spearheading a massive anti-government campaign enforcing a violent nationwide blockade since January 6 demanding a fresh election.
Last time Zia met in Singapore in 2012. The whole family could not be together since 2007.
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