Former India captain and current BCCI president Sourav Ganguly will lead India while the World Team will be captained by 2019 World Cup-winning skipper Eoin Morgan.
Venomous, accurate spells dished out by Philander, Steyn, Morkel and Rabada on second day help South Africa swell lead to 142.
Now retired South Africa great Kallis was an outstanding all-rounder, scoring 45 Test hundreds and averaging more than 55.
Man-of-the-match Vernon Philander took three wickets for 24 runs in 10 overs, including an early double strike.
Joe Root marked his first innings as England captain with a superb 184 not out against South Africa at Lord's on Thursday.