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The new regulation lifts a months-long blanket suspension covering most foreigners apart from diplomats and those in special circumstances, reports AP.
Returnees must undergo two weeks of quarantine and follow other anti-epidemic measures, the regulation said.
The announcement was made jointly by the Ministry of Foreign Affairs and the National Immigration Administration on Wednesday.
Beginning Monday, foreign nationals holding valid Chinese visas and residence permits for work, personal matters and family reunions will be permitted to enter China without needing to apply for new visas, according to the regulation.
Those whose permits have expired can reapply.
Some exceptions may still be made, with the foreign ministry communicating to some journalists that the regulation may not apply to them. Journalist visas have recently opened up as a new front in the diplomatic confrontation between Washington and Beijing.
China announced seven new cases of coronavirus on Thursday, all of them imported, marking 39 days since the country has reported a case of domestic transmission.
China has confirmed 85,314 cases of COVID-19 since the virus was first detected in the central Chinese city of Wuhan late last year.
Also read: Coronavirus global caseload now 31,779,533