"Travel restrictions may be totally or partially lifted or reintroduced for a specific third country already listed according to changes in some of the conditions and, as a outcome, in the assessment of the epidemiological situation".
The Commission also recommended that from July 1, the Member States should start permitting third-country nationals to enter the European Union, if the COVID-19 situation permits such a step to be taken.
Non-essential travel to the European Union has been banned since mid-March, but only after member states closed their national borders in confusion and without coordination as the pandemic grew.
Countries considered for the safe list are also expected to lift any bans they might have in place on European travelers.
The EU said China is "subject to confirmation of reciprocity", meaning it must lift all restrictions on European citizens entering China before it will allow Chinese citizens back in.
Why have some countries been excluded?
Apart from U.S. and India, travelers from other big countries like Russian Federation and Brazil also missed out from the list as these countries have increasing numbers of coronavirus cases. The U.S. now has the most coronavirus cases and deaths in the world, according to NBC News.
Brazil has the second highest infection rate, with 1,368,195 confirmed cases and 58,314 deaths. Also not on the entry list are citizens from Brazil, India, and Russian Federation.
"The European Union has an internal process to determine from which countries it would be safe to accept travellers", EU Commission spokesman Eric Mamer said last Thursday, adding that its decisions are "based on health criteria". Schengen associated countries - Iceland, Lichtenstein, Norway and Switzerland - were also part of this recommendation.
Each EU member state is allowed to decide how they control their borders.
Countries like Germany and Spain, horrified by the devastation of COVID-19, wanted to play it safe.
However, and when asked "who has been your country's greatest ally during the coronavirus crisis" a majority of respondents from seven countries answered "no one".
The Czech Republic has banned visitors from Portugal and Spain from entering the country.
Travelers in countries that did not make the list can still enter if they fall under the following exemptions: EU citizens or family members of an EU citizen; long-term EU residents or family members; those with an "essential function or need", such as diplomats, healthcare workers or certain agricultural workers.