"The parties agreed that all debris from the aircraft. must be returned to Ukraine", the statement said, adding that the issue of compensation for families of the dead had been raised.
"Respecting the wishes of the families lines up not with a question of citizenship, but it lines up also with global laws and practice and with principles around Islam for burials", Trudeau said.
Ukraine International Airlines' Kiev-bound Boeing 737-800 crashed on 8 January, soon after departing from Iran's Imam Khomeini Airport.
Twenty-nine permanent residents of Canada were also killed in the tragedy.
A team of six managers and experts, including four Canadians, from the UN's International Civil Aviation Organization has joined the investigation into the downing of Flight PS752 to advise and monitor Iran and other countries involved in the probe.
The report says the numbers reflect the passports that passengers use to board the aircraft. In which many people died. It is customary for remains to be buried as soon as possible after death.
Canada, Ukraine and other nations who had citizens on the flight have asked Iran to send the flight data and voice recorders to experts overseas for analysis. "It was a moment where Canadians needed our country to come together, needed communities to pull together and support folks suffering immeasurable loss", he told a meeting of Liberal MPs on Parliament Hill. That status would give Canadian investigators full access to data and allow them to suggest areas of study.
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"If devices are provided, the information (on the black boxes) can be restored and retrieved in a short period of time", the report said.
An Iranian aviation official had said on Saturday the black boxes would be sent to Ukraine, only to backtrack in comments reported a day later, saying they would be analysed at home.
The remains of one Canadian who was killed in the Iran plane crash have been repatriated, Foreign Affairs Minister François-Philippe Champagne confirmed Tuesday.
A statement said Iranian experts were expected to assess Ukraine's technical ability to decode the black boxes.
"Iran has indicated it is willing to do so".
Iran needs technical assistance from France and the United States to analyze data from the Ukrainian airliner that was accidentally shot down, according to a preliminary report released Monday by the country's National Aviation Authority.
Flight recorders, commonly known as black boxes, suffered physical damage, though the memory is intact after the flight was hit by two rockets within three minutes of landing from Tehran airport on January 8, the report said.