April 13, 1996 "One More Chance" only managed to peak at number 50 on the European Hot 100 Singles chart.

"One More Chance" entered the UK Singles Chart at number 11 on March 23, 1996. It dropped to number 29 in its second week and stayed on the top 100 for four weeks. According to the Official Charts Company, the single had sold 56,851 copies in the United Kingdom as of August 2008. In Australia, the song debuted at number 43 on the ARIA Singles Chart on March 24, 1996. It peaked at number 35 on the chart and stayed within the top 50 for five weeks. In Italy, "One More Chance" debuted at number ten on the FIMI Singles Chart on April 6, 1996. The next week, the single reached a peak of number two on the chart, staying there for one week before descending down the chart. "One More Chance" was the 77th best-selling single of the year in Italy. In Finland, "One More Chance" entered the singles chart at number 14 in the 13th week of 1996. It appeared on the chart for four weeks with peak position at number 12. In Sweden, the song debuted and peaked at number 39 on March 29, 1996, staying on the chart for three weeks. Due to its weak performance in European countries, "One More Chance" only managed to peak at number 50 on the European Hot 100 Singles chart on April 13, 1996.