A sympathy card is a card you give to someone who is feeling sad or going through a tough time to show them that you care and support them. Full definition
Following one example, brokerages can create an «empathy fund» that agents can pull from to interact with customers, such as sending sympathy cards to grieving clients. (rismedia.com)
Getting rid of flashy cigarette packets means I can sell more birthday cards and less sympathy cards. (politics.co.uk)
I also got a heartfelt sympathy card in the mail from the staff. (wellesleyah.com)