(Adds Pence, WHO comment, Olympic torch relay)
* Trump's Europe ban rocks travellers, markets
* China says virus has peaked at epicentre
* Epidemics balloon from Italy to Iran
* For interactive graphic tracking global spread of coronavirus: open https://tmsnrt.rs/3aIRuz7 in an external browser
BEIJING/WASHINGTON, March 12 (Reuters) - Travellers scrambled to rebook flights and markets reeled on Thursday after U.S. President Donald Trump imposed sweeping restrictions on travel from Europe, hitting battered airlines and heightening global alarm over the coronavirus.
But China, where the disease originated, said its epidemic had peaked and the global spread could be over by June if other nations applied similarly aggressive containment measures as Beijing's communist government.
Trump had downplayed risks to the United States during the crisis, but with epidemics ballooning from Iran to Italy and Spain, he limited travel from continental Europe for 30 days.
"This is the most aggressive and comprehensive effort to confront a foreign virus in modern history," he said in a prime-time televised address from the Oval Office on Wednesday.
That sent markets into a tailspin, with European shares plunging to their lowest in almost four years and oil also slumping.
It also sent stressed travellers rushing to airports to board last flights back to the United States.
"It caused a mass panic," said 20-year-old Anna Grace, a U.S. student at Suffolk University on her first trip to Europe who rushed to Madrid's Barajas airport at 5 a.m. to get home.
The outbreak has disrupted industry, travel, entertainment and sports worldwide, even throwing the Tokyo Summer Olympics into question. But its progress in the epicentre of China's Hubei province has slowed markedly amid strict curbs on movement, including the lockdown of its capital Wuhan.
Hubei logged just eight new infections on Wednesday, the first time in the outbreak it has recorded a daily tally of less than 10. Beyond Hubei, mainland China had just seven new cases, six of them imported from abroad.
"The peak of the epidemic has passed for China," said Mi Feng, a spokesman for the National Health Commission.
OVER BY JUNE?
The Chinese government's senior medical adviser, Zhong Nanshan, an 83-year-old epidemiologist renowned for helping combat the SARS outbreak in 2003, said the crisis could be over by mid-year.
"If all countries could get mobilized, it could be over by June," he said. "But if some countries do not treat the infectiousness and harmfulness seriously, and intervene strongly, it would last longer."
The coronavirus has infected more than 126,000 people across the world, the vast majority in China, and killed 4,624, according to a Reuters tally.
Already annoyed at what it considered over-draconian travel restrictions by Washington early in the crisis, Beijing smarted again at latest U.S. criticism of its handling.
White House national security adviser Robert O'Brien accused China on Wednesday of initially covering up the Hubei outbreak, saying that cost the world two months in response time.
In fact, retorted Chinese Foreign Ministry spokesman Geng Shuang, China's efforts bought the world time and "immoral and irresponsible" remarks would not help U.S. epidemic efforts.
The World Health Organization (WHO) now officially describes the crisis as a pandemic, meaning it is spreading fast across the globe.
"Describing this as a pandemic does not mean that countries should give up," WHO chief Tedros Adhanom Ghebreyesus told diplomats in Geneva. "The idea that countries should shift from containment to mitigation is wrong and dangerous."
Trump's surprise travel order, which starts at midnight on Friday, does not apply to Britain or to Americans undergoing "appropriate screenings", he said. "The restriction stops people not goods," he tweeted after his speech.
The 27-nation European Union (EU) bloc was not impressed.
"The European Union disapproves of the fact that the U.S. decision to improve a travel ban was taken unilaterally and without consultation," European Commission president Ursula von der Leyen and Council president Charles Michel said in a statement.
The market plunge hit airline and leisure stocks particularly hard.
"This is something that markets had not factored in ... it's a huge near-term economic cost," Khoon Goh, head of Asia Research at ANZ in Singapore, said of the U.S. move.
Although exempt from Trump's ban and no longer a member of the EU, Britain also expressed disappointment, saying it would have an impact on its economy.
But U.S. Vice President Mike Pence defended the new restrictions, saying the epicentre of the pandemic had shifted from Asia to Europe. "We know there will be more infections in the days ahead. We're trying to hold that number down as much as possible," Pence told NBC's "Today" programme.
In the United States, classes were suspended for two weeks in the greater Seattle area, which accounts for the bulk of at least 38 U.S. fatalities from the disease.
Oscar-winning American actor Tom Hanks tested positive in Australia, where he is on a film shoot.
Despite fears for the Tokyo Olympics, the torch relay got started in Greece when the flame was lit by the rays of the sun in ancient Olympia - albeit in a scaled-down ceremony and without spectators.
(Additional reporting by Ryan Woo, Stella Qui, Kevin Yao and Gabriel Crossley in Beijing; Alexandra Alper, Steve Holland, Susan Heavey, David Lawder, and Richard Cowan in Washington, Marine Strauus in Brussels, William Schomberg in London, Stephanie Nebehay in Geneva, Karolos Grohmann in Ancient Olympia; Writing by Nick Macfie; Editing by Robert Birsel and Andrew Cawthorne)