The world number one began his Australian Open campaign in impressive form dismissing Uzbek Denis Istomin 6-2, 6-3, 6-2.
Jelena Dokic went down to Virginie Razzano, while Elena Dementieva was beaten by Germany's Julia Schruff at the Australian Open.
Davenport, who was beaten in last year's final by Serena Williams, remains on course for a quarter-final meeting with 10th seed Venus Williams or eighth seed Justine Henin-Hardenne of Belgium.
List of seeded players for the 2006 Australian Open.
The result left second-placed Inter on 39 points from 18 matches, 10 points behind Juventus, who beat Palermo 2-1 on Saturday.
Svetlana Kuznetsova overcame a dogged Shinobu Asagoe 6-1, 5-7, 7-5 on Sunday.
The Netherlands beat Germany 3-0 while the United States topped their group despite losing 2-1 to Sweden.
Former world number four Jelena Dokic's return to competitive tennis ended abruptly on Tuesday when the Australian was bundled out of the Auckland Open in the first round.
The United States rallied to defeat Serbia and Montenegro 2-1 after Lisa Raymond had lost to Ana Ivanovic.
Manchester United have agreed an undisclosed fee with Spartak Moscow for defender Nemanja Vidic
Fans are already contemplating their team's prospects after the draw for the opening round of the 32-team tournament.
Thirty-two teams that qualified for the 2006 Football World Cup Finals in Germany were on Friday drawn into eight groups.
Video tributes will be recorded by President George W Bush, his predecessor Bill Clinton, the ex-president of South Africa Nelson Mandela, President Hamid Karzai of Afghanistan and Kofi Annan, the UN secretary-general. \n
FIFA's World Cup Organising Committee will decide on Tuesday the seedings for the 32 finalists involved in next year's tournament in Germany.
Racing Strasbourg, bottom of Ligue 1 and without a league win this season, secured their place in the last 32 of the UEFA Cup on Thursday with a 1-1 draw at AS Roma.
Paes and Nenad Zimonjic entered the semi-finals of the Madrid Masters beating Mahesh Bhupathi and Martin Damm on Friday.
They will either face Bhupathi-Damm or the Bryan brothers in the second round of the Madrid Masters.
Fixtures from the US Open Women's Singles Round 1 matches
Seven top 20 ranked players have already withdrawn from the event.
Like Mauresmo, Kuznetsova had a first round bye and she felt that might have been a factor in her shaky start.
Morientes was one of four Liverpool players named in the 22-man squad for a friendly against Uruguay.
India lost to Cuba in their penultimate league match in the men's Junior Volleyball World Championship.
The European champions are likely to play CSKA Sofia in the Champions League third qualifying round.
The Indian ace was beaten in straight sets by Japan's Akiko Morigami.
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