One, like the underlying bill, would have banned soft-money donations.
Both bills would ban unlimited donations to the national political parties.
While in office, Harris signed legislation banning corporate political donations.
The committee is also expected to discuss whether to ban donations from deer and elk hunters.
It also would ban donations from people who have spent three months or more in Britain since 1980.
President Bush would ban such donations from unions and corporations, but not individuals.
Many countries ban anonymous donations or contributions from foreign sources.
In the same month, he brought forward a motion calling for council to ban corporate and union donations to municipal candidates.
South Carolina is the only other state to ban such donations.
As a remedy, he proposed banning anonymous donations to political parties.