Libya's Tobruk-based government has issued a controversial travel ban prohibiting women under 60 from leave the country alone, citing "security concerns".
Fayez al-Sarraj survived an assassination attempt in Tripoli on Monday, reports suggest.
Head of Homeland Security John Kelly says that it would be a 'good assumption' to expect that residents and green card holders will be allowed to enter the US.
The former Manchester United ace was barred from passing through the US on his way to Trinidad from Qatar, as debate continues on strict American visa rules.
UK Foreign Minister Michael Fallon has told Russia to keep its 'hands off' Libya, amid Moscow's growing influence in the war-torn North African state.
Libyans have marked the anniversary of the 2011 uprising that toppled dictator Moammar Gaddafi, waving flags in central Tripoli even as the country reels from political chaos and security problems.
Security forces continue crackdown on Islamist insurgents as Tunisia extends its 2015 state of emergency.
A museum in Massachusetts has removed or covered dozens of artwork produced by immigrant artists to show their contribution to the cultural wealth of the United States.
Three east Libyan cities cancelled their Independence Day celebrations due to pitched battles against Islamist fighters, while large crowds gathered in Misrata and Tripoli.
NATO agreed at a summit last year in Warsaw to offer support to the Government of National Accord if it requested it.