The capital Dhaka was effectively cut off from the rest of the country as bus, ferry and train services were suspended and roadblocks kept in place to prevent opposition BNP activists to reach the city.
Authorities placed Zia, the former prime minister, under virtual house arrest last Friday in a bid to prevent her from taking part in the 'democracy march' called by the BNP to force Prime Minister Sheikh Hasina to quit and call off the January 5 elections.
Five sand-laden trucks have been kept in front of her house blocking the road, but one of them was moved to make way for the British envoy. It was repositioned after Gibson left.
Western countries, including the UK and the US, have been asking ruling Awami League and opposition BNP for a solution to the crisis stemming from sharp difference between the two parties over the nature of the poll-time government.
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Besides the alliance, a key ally of Hasina's Awami League party has also boycotted the polls. Hasina, however, insists the vote will go ahead as planned.
Meanwhile, three top leaders of Zia's party, including vice chairman Shamsher Mobin Chowdhury, also met her for the first time since the former prime minister was placed under virtual house arrest on Friday.
Police detained three BNP women leaders, including vice chairperson Selima Rahman, when they went to meet Khaleda. They were later released.
"You can wage anti-government agitation. But make sure people are not killed and children's education are not hampered by your movement," she said.
Hasina said there was no ban on anti-government agitation. But it would be unfortunate if the agitation was suicidal, if its purpose was to kill people, she said.
"Let the BNP-Jamaat agitate. But why [do they agitate] against the people? Killing people is no movement," she said.