It was the only card that featured a black couple.
A shopper named Takeisha Saunders first posted an image of the card on May 31 and claimed it was the only card depicting a black couple.
American Greetings, which manufactured the card, also issued an apology.
Target is in the crosshair of a controversy over its "Baby Daddy" Father's Day cards.
"We were made aware of some concerns about this card last week and are working with our vendor to have it removed from Target stores", the organization stated via Twitter.
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The DA's office did not specify the timing of the alleged incident or say how long the case would be under review. Reps for Stallone did not immediately respond to Fox News' request for comment.
The popular chain said: We assure you it is never our intention to offend our guests with the merchandise we provide.
American Greetings had the foolish idea to create a card that read "Baby Daddy" - for Father's Day. Often there's deadbeat dad connotations associated with the term.
Shoppers say it's not a term of endearment.
- Boosie Bad Jan ✨ (@JanMarie_)Target got baby daddy Fathers Day cards?!?
Saunders had found the particular card at a Rockwall, Texas, location but comments on her post detailed how the card was housed at stores across the country. "I saw this card and was surprised and disappointed".
"However, we now see that the front page, taken out of context, can communicate an unintentional meaning that we are strongly against perpetuating", a company spokesperson emailed. We should do better in the future, and we will. In a statement to Fox News the retail giant said: "We appreciate the feedback and apologize".