Olympic chiefs are going to discuss scrapping torch relays in future, after protests in London and Paris.
The flame is being taken across the world to the 2008 opening ceremony in Beijing, but anti-China protesters have been causing chaos along the way.
The torch is due to arrive in San Francisco, America, but already protesters have climbed up the city's main bridge to hang banners.
China has vowed that nothing will stop the current torch relay to Beijing.
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The torch was lit in Olympia, Greece, last week and will go through 20 countries before being carried into the Beijing Games opening ceremony on 8 August.
But on Monday, a reception to welcome it to France was called off, and it had to be put out three times because of protests.
However, the flame was kept alight in a safety lantern.
The day before, 37 people were arrested as demonstrators tried to disrupt the torch's journey through London.
Protesters are upset about the way China rules Tibet, and the way the Chinese Government treats Tibetan people.
The Tibet situation is complicated. In March this year, people demonstrated in Tibet because they don't want it to be ruled by China, and a number of people died.
Read about Press Packer Emily carrying the Olympic torch
