Moved closer towards

• Drew close to
• Approximated
• Got closer to Eddie, grabbing attention
• Got warm, in a sense
• Got warm
• Got closer to
• Drew close
• Came closer to
• Closed in on

The Collaborative International Dictionary Word definitions in The Collaborative International Dictionary
Near \Near\, v. t. [imp. & p. p. Neared ; p. pr. & vb. n Nearing .] [See Near , adv.] To approach; to come nearer; as, the ship neared the land.