Tourists can ask tour operators to issue refunds for trips to China and northern Italy, said Lithuania's State Consumer Rights Protection Authority (VVTAT).
Travel warnings issued by Lithuania's Foreign Ministry can be considered a force majeure circumstance, which allows tourists to claim refunds without the need to pay a termination fee, according to the VVTAT.
Read more: Coronavirus: Lithuania may declare state emergency
The low-cost airline Wizz Air. which offers flights from Vilnius to Milan, said it will not compensate for cancelled trips since there's no aviation ban for travels to Italy.
"Flights have not been disrupted, but if any disruption occurs, the company will inform passengers personally," the company told BNS.
Asked whether it has received requests to cancel trips, the company refused to comment due to confidentiality reasons.

Novaturas, one of the largest tour operators in Lithuania, organises ski trips to northern Italy. The company said it has no plans to suspend trips, adding that flights are taking place normally, with the next flight scheduled for Saturday.
"Our ski resorts are several hundred kilometers away from the quarantined towns. Of course, we are constantly monitoring the situation and we would take necessary actions if the situation changed," Dovilė Zapkutė, spokeswoman for the tour operator, told BNS.
Read more: As spare parts dry up, Lithuanian businesses to feel coronavirus effects
"To this date, trave plans have not changed and are taking place as usual. Travel changes or termination cases are subject to the usual conditions, and every contract should be considered individually," she said.
The Lithuanian Foreign Ministry issued travel warnings to Adeje in Tenerife and 12 municipalities in northern Italy.
Lithuania to decide on state emergency
The Lithuanian government will on Wednesday consider declaring an emergency situation as a preventitive measure, according to the health minister's spokeswoman.
If declared, the government could use resources in state reserves, and could also replenish them without the need for public procurement, Health Vice Minister Algirdas Šešelgis said on Monday.