Giuliani campaigned in Texas Tuesday.
WASHINGTON (CNN) - Former New York City Mayor Rudy Giuliani said at a press conference Tuesday in Houston that he would welcome former Sen. Fred Thompson and former House Speaker Newt Gingrich to the GOP presidential race.
"I think they should all join, be part of it," Giuliani said. "From my point of view, I'm not running against anybody in particular. I'm running to convince the Republican Party and the American people that I should be the next president."
Giuliani, while acknowledging certain differences with social conservatives, said that he thinks he has "a very good chance of winning the Republican nomination." He called himself the "strongest fiscal conservative" in the race and said his views on the war on terror and the economy will help him appeal to most Republicans.
- CNN Associate Producer Lauren Kornreich