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Visitors at H10 Costa Adele Palace hotel - a venue popular with British tourists - are currently being held inside the building, and the premises is said to be surrounded by police.
The tourist, who is believed to be a doctor from Italy's Lombardy region, was staying at the hotel for six days with his wife, the local news reports.
He visited a local health centre in Adeje in the south of Tenerife yesterday afternoon, claiming to have felt unwell for days, and is now being quarantined at Nuestra Señora de Candelaria University Hospital in Tenerife's capital, Santa Cruz.
The man is now awaiting this second batch of test results, as Spain's protocol is to double check all coronavirus cases.
His quarantine has sparked further fears about the spiralling rate that coronavirus is spreading in Italy, and prompted calls for EU officials to temporarily suspend the Schengen free travel rules.
In Lombardy, where the man is said to be from, several people have died from the virus.
Canary Islands president Angel Victor Torres confirmed yesterday: "This afternoon the coronavirus protocol has been activated for an Italian tourist in the south of Tenerife.
"The result from the first test carried out in the Canaries is positive. Tomorrow new tests will take place in Madrid. The patient has been quarantined."
A spokesman for the regional health authority added: "The protocol states that a second test must take place at the National Microbiology Centre at the Carlos III Health Institute in Madrid.
"The patient has been quarantined and is under the care of health workers."
This is Spain's third official coronavirus case. Previously, a British man tested positive to the virus in his home, Mallorca, but was later given the all-clear after failing to show symptoms.
Meanwhile, a German tourist was kept in isolation for two weeks after testing positive in La Gomera. He was later also given the all-clear.
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