This 1995 single continued Alex Party's run of infectious, sample-heavy dance-pop hits.
- "Wrap Me Up" samples "Don't Stop the Music" by Barry White and "Keep on Jumpin'" by Todd Terry.
- The single reached number 14 on the UK Singles Chart.
- The song was a commercial success in several European countries, including Italy, where it reached the top 10.
Alex Party was the stage name of the Italian house music producer and DJ, Antonio Bartoccetti. At the time of "Wrap Me Up," Bartoccetti was riding high on the international success of his debut single "Alex Party (Saturday Night Party)."
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