A 70-year-old man and a five-year-old girl were diagnosed with Guillain-Barre syndrome, a neurological autoimmune condition which can cause paralysis, Carlos Mejia, head of the infectious diseases clinic in the Hospital Roosevelt, told a news conference.
"We have also detected the first case of microcephaly compatible with Zika," he said.
Microcephaly is where babies are born with abnormally small skulls and underdeveloped brains.
Zika is most commonly transmitted by mosquito, although rarer cases of transmission through sex have been identified.
He added that there have been no confirmed deaths from conditions linked to the virus, but there was a report of a man infected with Zika dying of severe pneumonia.
Zika has swept through much of Latin America, prompting the World Health Organization (WHO) to declare an international public health emergency in February this year.
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