In the same half of the draw, Rose plays Hunter Mahan, while at the bottom of the draw Padraig Harrington meets Anders Hansen and Montgomerie faces six-time winner Ernie Els.
Bolton Wanderers remain in the bottom three after a draw 2-2 at Sunderland.
CNN: Suarez lifts Liverpool ahead of final meeting with Chelsea
Birmingham lifted themselves out of the bottom three with the draw but United will feel aggrieved at the manner of the leveller.
In the English Premier League , Manchester City endured a frustrating night as it was held to a goalless draw by bottom of the table QPR.
Substitute Shaun Batt struck a sensational 25-yard equaliser to earn a draw for rock-bottom Posh, who were playing in their first home game since Cooper succeeded Darren Ferguson.
Juve dropped points in Saturday's frustrating 1-1 draw at home to third-bottom Genoa, but still moved six clear at the top.
Scottish giants Celtic were held to a 1-1 home draw by Rapid Vienna and are bottom of Group C after two matches.
But the draw leaves the Shropshire side in the bottom two in the table.
In La Liga's other Saturday matches, Valencia played out a 2-2 draw with Levante while the game between bottom-of-the-table Deportivo La Coruna and ninth-place Rayo Vallecano ended goalless.
The draw lifted the Tigers out of the bottom three at the expense of a Newcastle side, who were beaten at home by Fulham, with a point separating the two teams.
Earlier in the day, Spain's group rivals Honduras and Morocco got the men's tournament underway with a 2-2 draw. the result ensured Spain are bottom of the group after the first round of matches.
Stoke joined Sunderland on 20 points from 14 matches after drawing 0-0 at Blackburn, while Fulham came from behind to earn a 1-1 draw at Bolton, who stayed in the bottom three.
Because the weekly wick is so long during the 2008 lows, I have taken the opportunity to draw two separate trendlines, one from the bottom of the tail and the other at the weekly close in 2008.
Some companies that have chosen to draw lines in the sand have reported extremely positive bottom-line impact as well as a long-term deterrent to frivolous lawsuits.
Bottom-of-the-table Augsburg played out a goalless draw at Hoffenheim in a game overshadowed by concern for Boris Vukcevic.
CNN: Bayern maintain perfect start with win over Werder Bremen
The draw left West Ham three points adrift of safety at the bottom of the table having played a game more Wigan and Wolves, who occupy the other two relegation places.
That journey started the day he was born on New Year's day 1992, the same day George Graham's "boring, boring" Arsenal were held to a turgid 1-1 draw by Wimbledon and in the same year that England finished bottom of their Euro 92 group and started their fateful 1994 World Cup qualifying campaign.
At the same time, it's adding upscale goods to draw in a wider shopping audience interested in more than rock-bottom prices.
Under-pressure Stuttgart boss Markus Babbel saw his side remain in the bottom three after conceding an 89th-minute leveler in the 1-1 draw at home to fellow strugglers Bochum.
He said that "the difficulty of unwinding, the difficulty of the lawsuits" are going to draw things out and that it is important to get to the bottom quickly.
To miss out on the Champions League, Milan will have to lose next weekend's final match at relegated Siena, while Fiorentina must beat bottom club Pescara -- or win by more than four goals if the Rossoneri draw.
In the group stages Wales - who won the bottom-tier Shield competition in Dubai last week - secured an excellent 14-14 draw with England, James Harris and Tal Selley scoring late tries.
The draw leaves Kilmarnock level on points with Aberdeen, although they are now second from bottom on goal difference.
Kenya took advantage of the draw by closing the gap in third place with a 2-1 victory over bottom side Mozambique in Nairobi.
There was also hope with Finland being held 1-1 away to bottom side Liechtenstein that Wales can still overhaul the Finns for third place and earn a better draw for future qualifying campaigns.
The draw extends Aberdeen's winless streak to nine matches, but extended Hamilton's lead over bottom side Falkirk to three points at the foot of the Scottish Premier League table.
BBC: Hamilton's David Elebert (left) tussles with Sone Aluko
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Wales lead Group Three with four wins and a draw from their opening five games, but their remaining three games are away from home, starting with bottom side Bosnia on Wednesday.
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