Laura Robson suffered a first-round defeat at the Miami Open against Belgium's Kirsten Flipkens.
The former British number one, now ranked 504th in the world as she battles back from a long-term wrist injury suffered against Flipkens at the 2014 Australian Open, was playing as a wild card in Key Biscayne.
Robson led 3-0 in the first set and Flipkens had to save three set points to earn a tie-breaker, which she took 7/4. The Belgian then dominated the second set, breaking twice in succession to earn a 7-6 (7/4) 6-2 win.
There were also defeats for all three of the British players involved in the qualifying tournament, with Katie Swan's run ended by Samantha Crawford.
The 16-year-old Swan, who is originally from Bristol but is based in the United States, posted a career-best win over world number 102 Lauren Davis in the opening round of qualifying.
That set up a clash with 109th-ranked Crawford for a place in the main draw, but it was the American who came through 6-2 4-6 6-2.
Swan, ranked 521st, gave another hugely encouraging performance but was affected by a thigh problem in the deciding set and lost the last four games.
The teenager became Britain's youngest ever Fed Cup player when she made her debut last month, turning professional a week later.
Naomi Broady lost 6-4 6-2 to Belarus' Aliaksandra Sasnovich while in the men's tournament, James Ward fell 6-3 6-3 to American Bjorn Fratangelo.
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