Pujara was placed sixth, down one rung, with 791 points, while Rahane occupied the ninth spot after slipping a couple of positions with 759 points.
Australia beat England by an innings and 123 runs after lunch on the last day of the fifth and final Ashes Test on Monday to wrap up a 4-0 series triumph. The hosts, who scored 649 declared in their reply to England's first innings 346, dismissed the tourists for 180 at the Sydney Cricket Ground to seal a comprehensive victory.
Images from Day 4 of the 4th Test at MCG in Melbourne on Friday
It is usually a sign of a day with few redeeming features when a coach rather than a player faces the media after play and Sunday's appearance of England's Trevor Bayliss was no exception.
England captain Joe Root lamented his team's failure to exploit their "good positions" in the first Ashes Test in Brisbane but is confident they would bounce back from their stinging 10-wicket defeat on Monday.
While multiple-time world champions and Champions Trophy winners Australia are always a tough nut to crack, New Zealand will enter the game at Edgbaston with renewed confidence after their six-wicket warm-up win over Sri Lanka at the same venue.
Chasing 209 for victory, Pant and Sanju Samson (61 off 31) joined forces to help Delhi go past the massive target.
The 2019 edition in England & Wales might be only 15 games old but set a fascinating pattern right from the very first ball when South Africa opened up with the leg spin of Imran Tahir.
Images from Day 2 of the 5th and final opening Test between Australia and England at the SCG in Sydney on Friday
Umpires should invoke cricket's laws and protect England's tailenders from Australia's relentless 'bodyline' bowling in the ongoing Ashes series, former England captain Michael Atherton has said.
Images from Day 2 of the 2nd Ashes Test played at the Adelaide Oval on Sunday
Injury-hit RCB and Delhi look to outshine each other.
This was the 36th tie in one-day international history and the 8th involving India.
Images from Day 5 of the 3rd Ashes Test played at the WACA in Perth on Monday
Images from Day 5 of the first Ashes Test between England and Australia, at Edgbaston, on Monday.
Captain Steve Smith frustrated England with a fighting half-century and pushed Australia to 165 for four at the close of a see-sawing day two, rescuing the hosts after a top order collapse in the series-opening Ashes Test in Brisbane on Friday.
Struggling teams Delhi Daredevils and Kings XI Punjab take on each other in an Indian Premier League match in Mohali on Sunday as they desperately seek to get back to winning ways to stay in the hunt for a play-offs berth.
5 instances when teams didn't cross the 70 run mark in 13 seasons.
Australia will start as favourites to reclaim the Ashes over the next seven weeks if only because of their home advantage but picking the winners in cricket's oldest Test rivalry has become a fool's game in recent years
'I thought Virat Kohli was the best batsman I've ever seen because of the way he plays in all forms, but Steve Smith... that's another level.'
The right-hander currently has 873 points in the list of Test batsmen, headed by Australia captain Steve Smith.
A rampaging Kolkata Knight Riders stand in the way of Delhi Daredevils' revival plan as the two teams, with contrasting runs so far, gear up to clash in an Indian Premier League (IPL) fixture in Kolkata on Friday.
Lack of intent in Daredevils players has been very surprising.
Rajneesh Gupta offers insights about the World Test Championship Final.
Following is a factbox on the first Test match between Australia and England, which starts on Thursday:
The second Test between India and Bangladesh at Kolkata's Eden Gardens will be the first day-night Test on Indian soil, making India the seventh country to host a day-night Test.
Aaron Finch (69 off 39) stitched a 92-run stand with Dinesh Karthik (40 off 28) to lead Lions to 195 for five.
Delhi Daredevils would look to continue the new-found momentum against a struggling Gujarat Lions in New Delhi on Thursday.
The Australia captain is at the top of the Test rankings for almost two years. His batting average of 62.32 is second only to Don Bradman.
Delhi Daredevils defeated fancied Rising Pune Supergiant by seven runs in New Delhi on Friday, making it tougher for the visitors in their quest to make it to the play-offs, in the Indian Premier League.
On a roll after five wins on the trot, table toppers Mumbai Indians will look to continue their domination when they clash with struggling Delhi Daredevils in an Indian Premier League game, in Mumbai, on Saturday.
Gujarat Lions and Delhi Daredevils will look to salvage pride when they clash in the Indian Premier League in Kanpur on Wednesday.
Factbox on the second Test match between Australia and England, which starts on Saturday:
Chasing 162 for a win, Delhi got out to rash shots to eventually fold up at 151 in the last over.
Only pride will be at stake when Delhi Daredevils host embattled Royal Challengers Bangalore in an inconsequential IPL game in New Delhi, on Sunday, with both teams seeking an end to their misfiring campaign on a positive note.
Rising Pune Supergiant, who have gone from strength to strength, will look to seal their place in the Play-offs with a win over inconsistent Delhi Daredevils in the Indian Premier League in New Delhi, on Friday.
Australia have barely put a foot wrong in the five-match series and will head to the MCG confident of pushing England toward a second successive whitewash on home soil.
With Australia wobbling at 76 for four on day two, Smith dragged his side back from the brink over eight-and-a-half hours of gut-busting graft and strode off the Gabba after tea on day three with an unbeaten 141 from 326 balls.
Indian touring parties that have left Australia empty-handed over the last 70 years
In what will be a dress rehearsal of their opening game in the World Cup, an unbeaten Australia take on England in the cricket tri-series final, in Perth on Sunday.