It was produced by the Australian duo DNA Songs (Anthony Egizii and David Musumeci) and IIan Kidron from The Potbelleez.

"[13] "Come with Me" was written and produced by Anthony Egizii and David Musumeci better known under their production name DNA Songs in a collaboration with Ilan Kidron, a member of the three piece Irish-Australian electro house music group The Potbelleez.

[14] It was conceived during Martin's stay in Australia where was a coach on the second season of the talent show The Voice.

[15] The single is an uptempo club,[1] dance-pop and EDM track[16] with "scintillating Latino dance beats"[15] and a length of three minutes and thirty-eight seconds (3:38).

"[17] Idolator's Sam Lansky noted that the song has the same musical structure as Jennifer Lopez's 2013 single "Live It Up".

[17] Similarly, Brendon Veevers of Renowned for Sound compared the single to the collaboration releases by Lopez and rapper Pitbull and deemed it as an attempt to replicate the success of the works by other Latin artists.

[21] Lansky wrote that with "Come with Me", Martin is going for the "mainstream radio jugular" describing it as a "big dancefloor banger that’s definitely, well, trend-riding".

He praised the decision for Martin to change his music style and go to different direction, however, according to him, the end result sounds foreign and uncomfortable for the singer, "Gone is the raw vocal emotion and instrumental passion – both of which have been replaced by an over the top production which appears to be aimed at a much younger fan-base with this comeback.

Martin appeared on the Australian Singles Chart for the first time since "I Don't Care" peaked at number twenty-five in 2005.

[33][34][35] Martin also performed "Come with Me" on The Ellen DeGeneres Show on September 26, 2013, and during the NRL Grand Final on October 6, 2013.