In the men's event, world number one Roger Federer was drawn against Russian Nikolay Davydenko.
Rafael Nadal, Robin Soderling, Novak Djokovic and Nikolay Davydenko kick off Group B on Monday.
The No. 6 seed Jo-Wilfried Tsonga, from France, triumphed 7-6 6-2 over Russia's Nikolay Davydenko.
Bulgaria's foreign minister, Nikolay Mladenov, told CNN he presumes the explosion was a terrorist attack.
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U.S. hopes were boosted by a superb win by 23rd seed Mardy Fish over Russian Nikolay Davydenko.
An ocean-going tug, the Nikolay Chiker, was about 27 miles off Stronsay in Orkney on Friday morning.
Haye, who defeated giant Russian Nikolay Valuev in November, first faces a mandatory defence against American John Ruiz.
Earlier, Russia's Nikolay Davydenko raced into the final after a comfortable 7-5 6-1 win over unseeded Martin Verkerk .
Paradorn Srichaphan showed flashes of his form of old as he upset sixth seed Nikolay Davydenko 6-4 7-5 6-3.
Sixth seed Nikolay Davydenko was the first man to reach the third round, seeing off Igor Kunitsyn 6-4 6-2.
The Nikolay Chiker had been headed north off Orkney before turning north east.
Haye, 29, won the WBA belt by beating giant Russian Nikolay Valuev on points in Germany on 7 November 2009.
Meanwhile, fourth seed Nikolay Davydenko pulled out of the tournament because of an elbow injury he struggled with in practice.
World No. 6 Nikolay Davydenko is the second seed, and the Russian's first match is against Feliciano Lopez of Spain.
Fourth seed, Ivan Ljubicic , joined them when he lost a third set tie-break 11-9 to Russian Nikolay Davydenko .
The tournament, which is not an official ATP Tour event, also featured Russia's Nikolay Davydenko and Federer's Swiss compatriot Stanislas Wawrinka.
The Gold Group features Rafael Nadal, Nikolay Davydenko, Tommy Robredo and James Blake, all of whom begin their campaign on Monday.
Russia have named Marat Safin in their squad, despite his wrist injury, along with Yevgeny Kafelnikov, Mikhail Youzhny and Nikolay Davydenko.
Haye took the WBA title by outpointing Russian Nikolay Valuev on Saturday.
In other ATP action Saturday, France's Richard Gasquet beat Nikolay Davydenko of Russia 3-6 7-6 6-3 to win the Qatar Open title.
The eight players in the Masters Cup field are: Nadal, Gasquet, Federer, Fernando Gonzalez, Novak Djokovic, Nikolay Davydenko, Andy Roddick and David Ferrer.
Switzerland's Federer, looking for an Open era-record fifth Melbourne triumph, was rarely troubled as he beat experienced Russian Nikolay Davydenko 6-3 6-4 6-4.
It was also straightforward for fourth seed Nikolay Davydenko , who swept aside Germany's Simon Greul 6-4 6-0 in his second round match.
Other seeds to progress were Nikolay Davydenko (four), who beat Florian Mayer 6-3 6-4 and David Ferrer (eight), who overcame Denis Istomin 6-4 6-1.
The Helenius-Gammer fight was set to take place on the undercard of the WBA heavyweight title bout between holder Nikolay Valuev and Ruslan Chagaev.
In Moscow, David Nalbandian ground out a 6-4, 7-6 (7-5), 7-6 (8-6) win over world number six Nikolay Davydenko to put Argentina in front.
Meanwhile Russian Nikolay Davydenko defeated Jose Acasuso from Argentina 6-4 6-3 while the fourth-seeded Russian Marat Safin beat Jarkko Nieminen from Finland 6-3 6-3.
Talks were then held about an autumn challenge against Vitali until Haye's camp walked away and fought Nikolay Valuev for the WBA belt instead.
Spain's Rafael Nadal closed the gap on world number one Roger Federer after reaching the final in Miami, where he lost to Russia's Nikolay Davydenko.
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