Bhullar, who carded solid 68-69 on the first two days, has looked much better this week and will be hoping for a strong finish.
This time, Halep and Djokovic each collected a winner's check of about $240,000, but Djokovic got slightly more than she did.
Dropping only one set all week, Djokovic won his fifth Italian Open title on Monday after beating Diego Schwartzman 7-5, 6-3 in the final.
World number two Halep, 28, was competing in her third Rome WTA final, having finished runner-up in 2017 and 2018 on the clay at the Foro Italico.
While Nadal won his opening two matches this week in straight sets, his rustiness showed from the start against Schwartzman.
The 12-time French Open winner insisted he was not obsessed with matching Federer, absent until 2021 with a knee injury.
The unseeded Indo-Canadian pair fought hard before going down 6-4 5-7 7-10 to the French combination in the tie-breaker late on Friday.
Halep, who is actually on an 11-0 run overall stretching back to February, recovered an early break in the opening set and then overpowered her 29th-ranked opponent the rest of the way.
Djokovic's only testy moment came during the third game of the second set, which went to deuce seven times before Djokovic finally broke Caruso's serve.
Conditions were much slower than on the high-altitude court in Madrid, which favoured Nadal and made it tougher for Tsitsipas to execute his attacking game.
Konta next meets either Czech fourth seed Karolina Pliskova or Greek qualifier Maria Sakkari, who beat the British number one on clay in the final of the Moroccan Open earlier this month.
German second seed Zverev was 3-1 up in the decider before two rain stoppages halted his momentum.
For rising German star Alexander Zverev it was a tenth consecutive win after back-to-back title runs at Munich and Madrid.
Replays showed the ball landed inside the sideline but umpire Marta Mrozinska refused to accept Pliskova's arguments to overturn the call.
Svitolina, the fourth seed, received a first round bye and dropped just three games in a dominant 6-1, 6-2 victory over 35th-ranked Petra Martic.