"We wanted to win, but we are pleased with the result, " coach Jurgen Klinsmann said.
Ferrer's opponent Wednesday will be unseeded Jurgen Melzer, who rallied past Albert Ramos, 2-6, 6-3, 6-3.
Nadal will meet Jurgen Melzer next, after the Austrian overcame Spain's Daniel Gimeno-Taylor 6-3 7-6 (7-2).
Meanwhile, Jurgen Melzer denied Milos Raonic a second successive title by winning the Memphis hard-court event on Sunday.
"That was thrilling at the end, the last few minutes were unbelievable, " Dortmund coach Jurgen Klopp told AFP.
CNN: Dortmund sink Bayern in Bundesliga top of the table clash
The Scot, 23, will next face Argentine Juan Monaco, who beat Jurgen Melzer of Austria 6-7 (6-8) 7-5 6-2.
Two seeds suffered shock defeats as Spain's Nicolas Almagro, the No. 10 seed, was knocked out by Austrian Jurgen Melzer.
Dortmund coach Jurgen Klopp insists he is more than happy with his side's position going into next week's second leg.
France's No. 17 seed Richard Gasquet progressed into round two with a 6-3 6-4 7-6 victory over Estonia's Jurgen Zopp.
The 23-year-old Scot, still yet to drop a set at the event, next plays Jurgen Melzer who beat Marcos Baghdatis.
It is hard to imagine their European counterparts turning up to honour a disgraced tycoon Ernest Saunders, say, or Jurgen Schneider.
The board thanks Jurgen Klinsmann and his coaching team for their work and wish them all the best for the future.
Jurgen Melzer reached the final of the Memphis hard-court event on Saturday, beating Czech third seed Radek Stepanek 6-4 3-6 6-3.
But Bayern may have a harder time shaking the tag that Dortmund manager Jurgen Klopp applied in an interview before the game.
Austrian Jurgen Melzer , the 13th seed, battled to a 6-4 6-7 (4-7) 6-3 1-6 7-5 win over Ricardas Berankis of Lithuania.
BBC: Roger Federer wins at US Open as Davydenko & Cilic lose
He'll now face the No. 10 seed Nicolas Almagro or Jurgen Melzer.
One measure in which the U.S. has unquestionably reached the big-time is in the salary of its national team coach, Jurgen Klinsmann.
United States manager Bob Bradley, Ajax boss Martin Jol and Germany legend Jurgen Klinsmann are among those being linked with the job.
"There is no conflict with European law, " said INEA boss Jurgen Gramke.
Next up for Haas is third seed David Ferrer, who came from one set down to defeat Austria's Jurgen Melzer 4-6 6-3 6-0.
The win was vital for U.S. coach Jurgen Klinsmann, who had come in for criticism following a 2-1 defeat to Honduras last month.
"Overall, there were too many mistakes done and too many players today just didn't reach their usual potential, " U.S. coach Jurgen Klinsmann said.
The US Open champion was forced to retire from his second-round match against Jurgen Melzer at 5-7 1-2 because of a wrist problem.
Wawrinka, meanwhile, will next face world No. 8 Jo-Wilfried Tsonga, who defeated Austrian Jurgen Melzer 6-3 6-0 the day after the Frenchman's 28th birthday.
CNN: Nadal 'relaxed' as rivals struggle at Monte Carlo Masters
Earlier in the day, Almagro needed under an hour to dispose of Austria's Jurgen Melzer 6-3 6-1, to reach his first-ever masters tournament semifinal.
Schmeichel captained United to European club football's biggest prize in 1999 and believes Jurgen Klopp's German champions have the ability clinch Europe's premier competition.
Borussia Dortmund can count on the development of arguably the best crop of young players in Europe, a group assembled by manager Jurgen Klopp.
Dortmund coach Jurgen Klopp is bidding to emulate the achievement of the 1997 side who won the Champions League but is guarding against optimism.
"Jurgen is trying to raise the bar for U.S. Soccer, but Clint has met the challenge at every level, " said Lyle Yorks, Dempsey's agent.
WSJ: For Jurgen Klinsmann, Mediocrity Will Not Be Tolerated��U.S. Men's National Soccer Team
Besides Sarin, other non-executive directors facing investor wrath are Michael Boskin , Jurgen Schrempp and the former chairman of Marks and Spencer, Luc Vandevelde .
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