The university's handball team was founded in 2003 and has achieved the following sporting accomplishments over the years:
- The ORT handball team finished as runner-up in the Major League A Bronze Cup (November 2025)
- ORT's handball team took third place in the ACB Silver Cup (December 2024)
- ACB League Silver Cup Champion (December 2023)
- 2023 Taylor Cup Champion (November 2023)
- Champion of the Handball Clubs Association's Apertura Tournament (August 2022)
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Winner of the Integration Tournament (July 2017)
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3rd place in the Beach Handball Tournament (March 2016)
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Champion of the 12th University Sports Tournament held in Cologne (April 2015)
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Beach Handball Tournament Champion (March 2015)
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Silver Cup Champion (November 2014)
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Runner-up at the 10th University Sports Tournament (April 2013)
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Champion at the 9th University Sports Festival (April 2012)
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Beach Handball Tournament Champion (March 2012)
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Champion of the University Sports League Annual Tournament (November 2011)
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Champion of the University Sports League Clausura Tournament (November 2011)
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Champion of the University Sports League Apertura Tournament (August 2011)
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2nd place in the University Sports League (November 2009)
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Champion of the 9th Intercollegiate Tournament 2009 (October 2009)
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Winner of the9th Mercosur Cup (September 2009)
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2nd place in the 9th Intercollegiate Tournament (August 2009)
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2nd place in the Beach Handball Tournament – Silver Cup (March 2009)
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2nd place in the University Sports League (November 2008)
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Champion of the 8th Intercollegiate Tournament 2008 (October 2008)
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3rd place in the UNISINOS Cup (October 2008)
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2nd place in the1st Copa Sudamericana (September 2008)
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2nd place at the 5th University Sports Festival (April 2008)
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2nd place in the3rd Beach Tournament (March 2008)
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Champion of the 7th Intercollegiate Tournament 2007 (November 2007)
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3rd place in the 20th UNISINOS Cup (October 2007)
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2nd place in the8th Mercosur University Cup (September 2007)
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National Handball Tournament Champion (October 2006)
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2nd place in the 19th UNISINOS Cup (October 2006)
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Champion of the7th Mercosur University Cup (September 2006)
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Champion of the 7th Intercollegiate Tournament (2006 season – July)
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Metropolitan Handball Tournament Champion (November 2005)
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2nd place in the 6th Intercollegiate Tournament (2005 Fall Season – November)
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National Handball Champion (October 2005)
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Winner of the6th Mercosur Cup (September 2005)
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Champion of the 6th Intercollegiate Tournament (2005 season – June)
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Champion of the 5th Intercollegiate Tournament (2004 Fall Season – November)
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Champion of the 5th Intercollegiate Tournament (2004 season – June)
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Champion ofthe 1st University Sports Tournament (April 2004)
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2nd place in the 4th Intercollegiate Tournament (2003 Fall Season – November)
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3rd place in the 4th Intercollegiate Tournament (2003 season – June)