Since last year, at least 21 US officials and a smaller number of Canadians have received treatment for a variety of symptoms including brain trauma and hearing loss after what US Secretary of State Rex Tillerson has called "health attacks."
US officials initially suggested the envoys were hurt by some kind of mystery "acoustic device" but investigations are continuing and the State Department has been reluctant to go into details.
"Cuban authorities... have so far has found no evidence whatsoever that could confirm the causes or the origin of the health disorders referred to by US diplomats and their relatives," he said.
"The investigation to clarify this issue continues, and in order to be able to arrive to a conclusion, it will be crucial to rely on the cooperation of the US authorities.
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"It would be unfortunate if a matter of this nature is politicized," he added.
Washington has not accused Cuba of being behind an attack, but has repeatedly warned that Havana is responsible for the safety of foreign envoys on its soil, and in May two Cuban diplomats were expelled from the US.
"Cuba has never perpetrated nor will it ever perpetrate actions of this sort. Cuba has never allowed nor will it ever allow its territory to be used by third parties with that purpose," Parrilla said.
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