Acapulco, Mexico, 27 February 2019 | tennis.com.au / Reuters

Nick Kyrgios has eased into the second round of the ATP 500 tournament in Acapulco with a 6-3 7-5 win over Andreas Seppi.

Also moving through was Alex De Minaur, who won a tighter 7-6(5) 7-6(2) battle over Nicolas Jarry of Chile.

Kyrgios surged to a 6-3 4-1 lead and withstood a late fightback from the Italian veteran to win in 73 minutes.

Kyrgios’ second-round opponent is No.1 seed Rafael Nadal – after the Spaniard got past Mischa Zverev in straight sets – while De Minaur, the fifth seed, next tackles either Feliciano Lopez or Dusan Lajovic for a place in the quarterfinals.

De Minaur has now won 11 of his 13 matches in a blistering start to the 2019 season.

After John Millman’s victory on Monday night, Kyrgios and De Minaur become the second and third Aussies respectively through to the last 16 at the Mexican hard-court event.

Their other compatriots, however, suffered losses on Tuesday.

Teenaged qualifier Alexei Popyrin faced a tough draw in second set Alexander Zverev and ultimately went down 6-3 6-3.

Daria Gavrilova fell to Mihaela Buzarnescu 6-4 6-2 earlier on Tuesday (local time), a result that snapped the Romanian’s 11-match losing streak while extending Gavrilova’s to seven.

At the Dubai Tennis Championships, Matt Ebden took a set off Stefanos Tsitsipas but the world No.11 proved too good for the Australian in their opening-round encounter.

Two days after he lifted the trophy in Marseille, Tsitsipas overcame world No.47 Ebden 6-4 3-6 6-3 to record his 12th win in 16 tour-level matches this season.

Greek 20-year-old Tsitsipas, who reached the Australian Open semifinals last month, won 92 per cent of first-serve points to claim victory after one hour and 43 minutes.