The character in this text message exchange is Oleg, the baby meerkat, for those of you who don’t know. Compare the Market’s animated meerkats to Oleg. They can be found in commercials and on Compare the Meerkat, a parody website. These characters have become oddly popular, and dolls and figurines have been created based on them.
In any case, baby Oleg stands for “Come to me right now” in these messages. This boyfriend, thankfully, is a meerkat.