Ihtimal will aim to break her maiden in Saturday's German-Thoroughbred.com Sweet Solera Stakes at Newmarket.
Saeed bin Suroor's filly has run three sound races in her career but has yet to get her head in front.
She was second to Albany winner Kiyoshi on debut, beaten by Wedding Ring, whom she meets again in this, next time out and ran a solid race against the colts when third to Berkshire in the Chesham at Royal Ascot.
"She's a very nice filly," said Bin Suroor.
"It's unlucky that she hasn't won a race yet as she's run three nice races.
"She's very well and she's a filly that tries very hard.
"This looks the right trip, the right race and we hope she runs well.
"It looked like she stayed at Ascot and the experience against colts will have helped her but this looks a tough race."
Lamar bids to give James Tate the biggest success of his fledgling training career.
The Cape Cross filly won a Newmarket maiden in June before running creditably when upped in class for the Star Stakes at Sandown where she finished third.
"I don't think she showed us her true ability in the Star Stakes," said Tate.
"Then when they quickened up she didn't know what to do - she was still green.
"She is a huge filly - 538 kilos when I last weighed her - who is very relaxed and finds everything very easy at home. I can't believe that we will see the best of her until she has had four or five starts (this will be her fourth).
"She has come on a bundle again in her home work since Sandown so there are plenty of reasons to believe that she will have improved.
"I was pleasantly surprised when I walked the course on Thursday morning - it was genuinely good ground.
"To have a two-year-old filly like Lamar is very exciting. I am just anxious to find out what level she will reach."
As usual for a two-year-old race, Richard Hannon is well represented with Newbury maiden winner Baby Bush and Midnite Angel.
"Baby Bush won well on her debut out at Newbury," the Wiltshire handler told www.richardhannonracing.co.uk.
"Like all ours, she will improve for that and might also appreciate going up to seven (furlongs), while Midnite Angel is also a decent filly.
"She bumped into a well-handicapped youngster in J Wonder at the last meeting, but they pulled four lengths clear of the rest, and it was probably a hot nursery.
"She has plenty of speed, but the seven should be ok for her."
John Hills expects Adhwaa to improve as she steps up in trip later in her career, being out of a Cheshire Oaks winner, but she is in such good form he is happy for her to take her chance.
"She was very green on her debut but improved massively to finish second to Kingman next time," said Hills.
"Then she improved again to win a decent maiden at Doncaster.
"She's a lovely filly and is in great order at home but obviously this is a step up in class.
"We're very hopeful that she'll progress to be a very nice filly and she will stay further than a mile on pedigree but when you have a filly like this in good form we thought we'd let her take her chance in a good race."