You can send a Direct Message to these accounts even if they don’t follow you. Some accounts, particularly businesses on Twitter, have enabled a setting to receive Direct Messages from anyone.Newly added participants won’t see the prior history of the conversation. In group conversations, anyone in the conversation can add other participants.Everyone in a group can see all messages, even if everyone doesn’t follow each other. Anyone in a conversation can send Direct Messages to the group.You have previously sent that person a Direct Message.You have opted in to receive Direct Messages from anyone or.Anyone you do not follow can send you a Direct Message if:.You can start a private conversation or create a group conversation with anyone who follows you.