The graffiti was found on the garage door of Pelosi's home overnight with the phrases "$2K", "Cancel rent!" and "We want everything."
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As of early Friday afternoon, the garage door was covered with black garbage bags.
The vandals also left fake blood and what appears to be a pig head outside the House Speaker's San Francisco home.
It's unclear if Pelosi was home at the time of the vandalism.
Americans first received $1,200 as part of a COVID-19 relief deal at the start of the pandemic.
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Months later, lawmakers pushed through additional $600 relief checks, which Americans are now receiving.
President Donald Trump last month made a push for Congress to increase the checks to $2,000, which Democrats then brought to a vote before it was blocked by Republican Senate Majority Leader Mitch McConnell.
The GOP leader claimed Congress had already provided Americans with enough aid during the pandemic.