Critical reception towards "Come into My World" has been positive; the majority of the critics commended the song's composition and commercial appeal. In Australia, the single peaked at number four on the ARIA Charts. It found moderate success in the United Kingdom, where it debuted and peaked at number eight on the UK Singles Chart. The single also charted within the top 20 in Belgium, Hungary, Italy, Romania, Canada and New Zealand, and peaked at number 91 on the US "Billboard" Hot 100.