Solomon Airlines and the country's tourist authority are pushing for a travel bubble with other countries in Micronesia, Melanesia and Polynesia.
The airline has grounded international flights until the end of August but the tourist group says the Covid-free status of a group of nations makes the time right to work on a travel bubble.
Earlier this week, no cases of Covid-19 had been reported in Solomon Islands or Vanuatu, nor in the sovereign states of Kiribati, the Marshall Islands, the Federated States of Micronesia, Nauru, Palau, Samoa, Tonga and Tuvalu, the organisations said.
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Josefa Tuamoto, chief executive of Tourism Solomons said many countries in the wider region had adopted new screening protocols and are now better informed and equipped to diagnose and treat Covid-19 should an issue occur.