In June 2005, Statham's second year on the professional tour, he made his first final at the Japan F8 tournament. He lost in the final to Go Soeda of Japan 4–6, 3–6. In November 2008, Kyu Tae Im of Korea defeated him 6–7, 1–6 in the final of the Malaysia F2 event. This was the second time he had made a final in over three years. In May 2009 Statham won his first tournament, at Australia F3, defeating Australian Greg Jones 4–6, 6–4, 6–1 in the final. In his next tournament, Australia F4, he lost in the final to Jones 5–7, 6–7. He won his next tournament in Egypt F7 by defeating Jean-Noel Insausti of France in the final 7–5, 6–2. He made it four finals in a row in his next tournament at Egypt F8, losing to Karim Maamoun of Egypt in the final 2–6, 2–6. In October 2009 Statham won another Futures title at Thailand F4. He defeated Roman Jebavý of the Czech Republic 6–3, 2–6, 7–5 in the final, having also won the doubles title the day before. He also won the Vietnam F1 title in the same month, defeating Amir Weintraub of Israel 6–7, 7–6, 6–1 in the final, and again made it a special event by winning the doubles as well. He was do it again in Korea in May 2013. In October 2010, Statham was the only New Zealand representative in the Men's Singles at the 2010 Commonwealth Games and was the sixth seed. He lost in the quarterfinals to top-seeded and eventual champion Somdev Devvarman of India 3–6, 4–6.
With 31 ties, Statham holds the record number of appearances in the Davis Cup for New Zealand, his debut being in 2005. His 26 singles victories is also the highest number by a New Zealand player. His win against Brandon Perez in the 2020 World Group I play-off against Venezuela was his first competitive match for more than a year, a serious hip injury having caused him to retire from the first round of a Challenger event in Bangkok in February 2019.