Wrap around

wrap sth around sb/sth

- to put a piece of clothing or material around someone or something, usually to keep them or it warm: e.g "It was so cold that he wrapped a scarf tightly around his face."

- to put part of your body, such as your fingers or arms, tightly around something or someone: "She wrapped her arms around her knees."

Pelo contexto da frase, acho que é se refere a abraçar a pessoa ou o coração.