Bevan made his One Day International debut for Australia in the 1994 Austral-Asia Cup at Sharjah and by the 1995–96 season he became a regular in the side. Nonetheless, he proved a reliable anchor at the bottom of the middle order, and he would often patiently guide Australia to victory following a rare top-order collapse – leading to him being nicknamed "The Finisher". One of his most famous "anchor" innings was in the New Year's DayOne Day International at the Sydney Cricket Ground against the West Indies in 1996. With the Australians at one stage 6/38 chasing 173, his unbeaten 150-minute 78 got the Australians over the line with a four on the last ball of the innings. By the end of his ODI career, Bevan was known as the "Pyjama Picasso".
Bevan previously appeared for Australia in the 1996 Cricket World Cup, where Australia lost the final to Sri Lanka, and the victorious 1999 Cricket World Cup side. Bevan entered the 2003 Cricket World Cup injured. He played his first game in the group stage against India. He didn't bat until the fifth group game against Namibia and he registered a rusty 17 before being caught and bowled by Louis Burger. In the final group game against England, he came in with Australia struggling at 48–4. He then was joined by Andy Bichel at 135–8 with 70 runs still required to win. Bevan finished on 74 not out and Bichel 34 not out as Australia won in the final over. An unbeaten group stage was followed by an unbeaten Super Six stage. He made 56 against New Zealand helping Australia recover from 84–7 again batting with Bichel to help Australia win. His last knock was an unfortunate golden duck in the semi-final against Sri Lanka and he was not required to bat in the final which Australia won.
Test career
Despite his ODI success, Bevan's Test career was not nearly as successful. Thought to be susceptible to short-pitched deliveries, he never really succeeded in the longer form of the game, with an average of only 29. His problems with short-pitched bowling were more myth than reality – he continued to perform consistently in ODIs, despite a rule change which allowed short-pitched bowling in ODIs. He also scored heavily in domestic first-class cricket for New South Wales, averaging almost 60 with the bat. He performed well during his limited time as a bowler in Test matches, with his bowling style of left-arm unorthodox spin, which included taking ten wickets in a Test match against the West Indies touring side in 1996. Bevan’s modest Test career is also a reflection of the strength of Australian cricket at the time - they did not need to persevere with him because there were many other options.
Retirement
On 17 January 2007, due to injuries Bevan announced his retirement from all forms of cricket. "It got to the stage where injuries and pain were holding back my motivation, and it got to the stage where I was finding it hard to get up for matches and that was probably a pretty clear indication that it was time to move on," Bevan said.
