In Mexico City, the foreign minister said the bodies were likely to arrive home on Wednesday.
The tourists were killed along with four Egyptians on September 13 when they came under fire during a lunch break in Egypt's vast Western Desert while on their way to the Bahariya oasis.
Survivors have told Mexican diplomats that they came under fire from a plane and helicopters.
Egypt said the tourists had entered a restricted area and were "mistakenly" killed as security forces chased jihadists.
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Mexican Foreign Minister Claudia Ruiz Massieu told Televisa TV that the bodies will probably be home by Wednesday.
"They will arrive this week. I don't have elements right now to say exactly (when), but it is very probable that they will arrive here on Wednesday," she told the network.
On Friday, Ruiz Massieu accompanied six tourists wounded in the attack back to Mexico City on the presidential plane after having flown to Cairo with relatives of victims to demand answers from the authorities.