Berces is Hungary's most successful ultra runner. During her career she set several world records, four of which still stand, and holds virtually all Hungarian records from 100 kilometers to 48 hours.
In 2002, just two weeks after winning the European 24-hour Championship, she set a world record over 24 hours on the track as well as a 100-mile world record en route. Based on those accomplishments, Ultramarathon World voted her the top female ultramarathoner of 2002.
In 2004, Berces set a 24-hour world record on the treadmill and set a 100-mile world record as well en route. Both of these records still stand. At the time, Bérces's 24-hour record was better than the men's world record.