Symes received a seven-year ban for also receiving a payment and failing to disclose details of the approach to engage in match-fixing.
"There is no evidence that this is widespread. We are fully confident that it is contained but will continue investigating," CSA chief executive officer Haroon Lorgat told a news conference at Newlands.
Details have also been passed to the South African police, he said.
The bans follow a lengthy investigation by CSA's anti-corruption unit.
"We take our work seriously. We need something serious to trigger an investigation. We do not engage in witch hunts. Our primary responsibility is to protect the integrity of the sport and no stone will be left unturned," its chairman Bernard Ngoepe said.
Bodi, who was born in India and moved to South Africa as a teenager, played two one-day internationals and one Twenty20 match for the national side in 2007.
South Africa's government made match-fixing illegal and punishable with a prison sentence following the Hansie Cronje scandal.
Cronje was a respected captain of the national side before being banned for life in 2000 after attempting to fix matches on the orders of an Indian betting syndicate. He died in a plane crash in 2002.
- AAP