"It is obvious that we must halt tourism to protect us and others," the lobby group said on a website set up to back the campaign.
"But love is not tourism. This is not just about a summer holiday, it is about mental health and the future of people all around the world."
Non-essential travel to the European Union remains prohibited from a number of countries, including the United States, with exceptions for EU citizens, residents and their families.
In theory, member states can choose to allow unmarried partners in documented relationships to enter the EU, but in practice few do so.
On Friday, the European Commission urged member states to end many couples' torment and allow entry for unmarried partners of European citizens and residents.
Read also: Greece Tightens Coronavirus Restrictions for EU Tourists
Germany, which holds the rotating EU presidency, has sent a questionnaire quizzing the 27 member states on their policy.
Travel restrictions have prevented Emeric Tonri from returning from France to Vietnam where he lives with his wife and their four-year-old daughter.
"It's tragic, I haven't seen her since December," said Tonri, who has worked in the Southeast Asian country for the past six years.