Dancevic shocked top seed Andy Roddick while Tursunov beat American Sam Querrey in the semi-finals of the Indianapolis championships.
Brad Gilbert has agreed to coach Andy Murray and assist the LTA with its performance programmes.
Marat Safin battled to 6-3, 7-6 first round win over Igor Kunitsyn at the Legg Mason Tennis Classic.
World number one Rafael Nadal needed two tie-breaks to outlast Stanislas Wawrinka 7-6 7-6 at the Sony Ericsson Open on Tuesday, the Spaniard's win completing an ominous march into the quarter-finals for the top seeds.
With the American men experiencing their longest US Open title drought in the Open era, Venus Williams led the American charge into round two on Monday with a 6-3, 3-6, 6-2 win over Viktoria Kuzmova of Slovakia.
Coco Gauff became the first American to win a US Open singles title since Sloane Stephens in 2017.
With Andy Roddick retired, Mardy Fish unavailable and Spain apparently unbeatable at home on clay, the United States look distant second favourites when the two nations clash in the Davis Cup semi-final in Gijon starting on Friday.
Britain's Andy Murray has said he wants American tennis guru Brad Gilbert to be the coach to take him to the next level.
The threadbare state of American men's tennis surfaced again on Monday when John Isner lost to Fernando Verdasco in the fourth round of the US Open to make it the worst home showing in the professional era.
Andy Murray and Rafael Nadal made it to the final of the Indian Wells tournament after victories over Roger Federer and Andy Roddick respectively.
One magical point from Roger Federer capped an exhilarating first day at the US Open on Monday as a host of former champions each took their turn in the Flushing Meadows spotlight.
Serena Williams, brimming with confidence and self-belief with every match she plays, stormed into the semi-finals of the US Open on Wednesday with a 6-1, 6-3 demolition of Ana Ivanovic.
Daniil Medvedev, the 2021 champion, will need to shake off a run of poor form if he is to mount a challenge.
The United States will take on Chile in the Davis Cup quarter-final on grass courts.
The 20-year-old became the youngest semi-finalist at Melbourne Park since American Andy Roddick, also 20, at the 2003 tournament.
British Actor Pierce Brosnan watched Bogdanovic play against Roddick during The Queen's tennis tournament on Thursday.
Seven-times Wimbledon champion Pete Sampras returned to the All England Club on Sunday for the first time since 2002 for the chance to watch Roger Federer overtake his grand slam titles record.
Dmitry Tursunov will take on Andy Roddick in Friday's first singles of the Russia-US Davis Cup final while Mikhail Youzhny meets James Blake in the second.
The United States swept past Belarus on Saturday to clinch their first Davis Cup final appearance since 1997.
Spain took a 2-0 lead in their Davis Cup semi-final against the United States on Friday after world number one Rafael Nadal survived a spirited attack from rookie Sam Querrey and David Ferrer beat Andy Roddick. Nadal won 6-7, 6-4, 6-3, 6-4 while world number five Ferrer sealed the match 7-6, 2-6, 1-6, 6-4, 8-6.
Australian Open champion Novak Djokovic and unseeded Swiss Stanislas Wawrinka will meet in the final of the Rome Masters on Sunday after their semi-final opponents retired injured on Saturday. Serbian third seed Djokovic went through after unseeded Czech Radek Stepanek, pulled out when 6-0 1-0 down while Wawrinka made the final after American sixth seed Andy Roddick withdrew at 3-0 down in the first set because of a back injury.
Factfile on Switzerland's Roger Federer, who won a record 15th Grand Slam title after winning Wimbledon with a 5-7, 7-6(6), 7-6(5), 3-6, 16-14 defeat of American sixth seed Andy Roddick on Sunday.
World number one Rafael Nadal survived a second-set scare to beat Spanish compatriot Fernando Verdasco 6-4 7-5 and seal his place in the semi-finals of the Madrid Open Friday.
Spain shrugged off the absence of Rafa Nadal to take a 2-0 lead over hosts the United States in their Davis Cup World Group quarter-final after gutsy wins by Feliciano Lopez and David Ferrer on Friday.
He strongly criticised Wimbledon organisers after his fellow Australian Lleyton Hewitt was seeded three.
Argentine Juan Martin Del Potro ended top seed David Ferrer's reign as Japan Open champion with a 6-1, 7-5 quarter-final victory.
Novak Djokovic said he overreacted to jokes about his long list of injuries when he lashed out at Andy Roddick after defeating the American on Thursday to reach the semi-finals of the US Open. Roddick had commented to the crowd courtside after his previous match on the assorted maladies cited by Djokovic, who complained about stomach, hip, ankle and breathing problems during his five-set win against Spain's Tommy Robredo.
The fourth seeded Indo-Bahamas pair got a walkover from the American duo of Mardy Fish and Andy Roddick in the second round of the ATP Rogers Masters.
Roger Federer beat Ivan Ljubicic 7-6, 6-4 to bring David Nalbandian through with him.
Rafael Nadal ended Andy Roddick's bid for a record fifth title at Queen's by charging into the final with a 7-5, 6-4 win.
James Blake ended the three-year Queen's Club reign of Andy Roddick to announce himself as a surprise contender for Wimbledon.
Sebastian Korda is just the third American to reach the quarter-finals at the Australian Open.
Tennis ace Andy Roddick's luscious blonde wife Brooklyn Decker says she is too curvy to be a runway model.
James Blake beat Russian Mikhail Youzhny in the second singles after American No 1 Andy Roddick outclassed Dmitry Tursunov in the opening rubber.
The United States won 4-1 and will host defending champions Russia in the final.
World number one Roger Federer faces a lofty challenge in his bid for a fourth straight U.S. Open title when he takes on American wildcard John Isner in the third round on Saturday.
The big-serving Aussie beat Sebastien Grosjean in the first men's semi-final at Wimbledon.