Paine led Australia between 2018 and 2021 after Steve Smith was stripped of the captaincy in the wake of the "Sandpaper-gate" ball-tampering incident against South Africa.
Devon Conway's blistering 78 helped hosts New Zealand race to 155-2 against Sri Lanka at the end of a rain-delayed opening day of the second Test on Friday in Wellington.
The IPL kicks off on March 31 and the final is scheduled for May 28, while the WTC decider begins at The Oval on June 7.
Kohli ended the long drought and reached his 28th Test hundred with a single, sparking wild celebrations at the world's biggest cricket stadium in Ahmedabad.
Sri Lanka had claimed the initiative on the first two days of the Christchurch Test but were 83 for three in their second innings at stumps on day three, a lead of 65 runs.
It is a second Test century for middle-order batter Bavuma in his 56th match. His maiden ton came against England at Newlands in 2016, and this one followed a pair of ducks in the first Test against a West Indies team he idolised growing up.
After a long grind, Khawaja was batting alongside Cameron Green, on 49, at close of play after Australia elected to bat at the world's biggest cricket stadium in Ahmedabad.
It reflects a wider, and not wholly unpopular, trend globally as five-day stalemates have given way to three days of frenetic action with a guaranteed outcome.
England captain Ben Stokes said he had no regrets about enforcing the follow-on after New Zealand defied history to claim a thrilling one-run win in the second Test in Wellington.
New Zealand were 202 for three in their second innings at stumps, needing only 24 runs to make England bat again at the Basin Reserve.
Red-hot Harry Brook made a majestic 184 not out while Joe Root was unbeaten on a classy 101
England's mathematical chance of making the final were snuffed out after India hammered Australia inside three days in Nagpur earlier this month.
Jadeja claimed a career-best 7-42 as he and Ravichandran Ashwin (3-59) routed Australia for a paltry 113 in their second innings at the Arun Jaitley Stadium.
The afternoon session saw a controversial dismissal of Virat Kohli
Broad claimed four wickets under lights -- all clean bowled -- to reduce the Black Caps' second innings to 63-5 at stumps on day three, with hopes of reaching their winning target of 394 all but extinguished.
Stokes hoisted the 108th six of his career when he hooked seamer Scott Kuggeleijn over fine leg midway through the third day of the opening Test against New Zealand at Mount Maunganui.
Star Zimbabwe batter Gary Ballance was ruled out of the decisive second Test against the West Indies in Bulawayo on Sunday due to a migraine headache.
The world number one side were crushed by an innings and 132 runs inside three days on a bone-dry pitch
West Indies captain Kraigg Brathwaite and Tagenarine Chanderpaul became the first opening pair to bat in excess of 100 overs in an innings in the 21st century during the first Test against Zimbabwe in Bulawayo on Monday.