Bencic and Paul coasted through the first set but won a total of just 12 points in the second set as the match went into a tiebreak.
Junail Zafar Khan, a club-level Pakistan-origin cricketer, has died after collapsing on the ground during a local match played in extreme heat at the Concordia College in Adelaide.
According to the Australian Government's Bureau of Meteorology, rain is set to disrupt three days of the Test match.
At Stumps on Day 3, the visitors are struggling at 51/4 with right-hand batter KL Rahul (33*) and team skipper Rohit Sharma (0*) unbeaten at the crease.
The start of India's two-day warm-up match against the Australian Prime Minister's XI on Saturday was delayed because of rain.
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India's matches were largely uninterrupted by rain and chances of a wash out are miniscule in the semi-final too.
The India and Bangladesh game at Adelaide on Wednesday will have a big role to play in the chances of both sides making the T20 World Cup semi-final.
Above-normal heatwave days are predicted in most parts of central, east and northwest India during this period.
Since September 2019, Australia's raging bushfire crisis has killed 24 people, reduced to ashes hundreds of homes and pushed many species towards extinction. The bushfires continued to pose serious threat in Victoria, New South Wales, South Australia and Western Australia.
Organisers have been criticised by players attempting to make the main draw of the season opening Grand Slam for continuing to play matches despite the poor air quality from bushfires.
El Nino is often associated with below average warmer, dry weather across Asia Pacific region.
Unbeaten India take on England in the first of Thursday's semi-finals at the SCG and would progress to Sunday's final at the Melbourne Cricket Ground (MCG) if a minimum of 10 overs a side were not possible because of the weather.
'They're just trying to shove us on the court because we're qualifiers'
The El Nino risks for this year is rising in India and it could result in sub-par rains, says a report.
Air quality to be closely monitored ahead of Australia Tests
An El Nino is a temporary change in the climate of the Pacific Ocean, in the region around the equator.
The IMD chief also allayed fears of occurrence of an El-Nino.
Officials in the weather department said the monsoon is expected to be below normal because of the El-Nino effect.
Mount Agung has been hurling clouds of white and dark grey ash nearly 10,000 feet into the atmosphere since the weekend and lava is welling up in the crater.