But they will have trouble gathering two-thirds of each house to deny continued trade privileges.
The efforts have failed, but a new attempt is planned when the trade privileges come up for renewal next year.
The immediate subject of debate is whether normal trade privileges should be extended to China for another year.
The town received trade privileges in 1266, during the reign of king Erik 5.
The executive order set seven conditions China had to fulfill to have its trade privileges renewed this summer.
For now, the trade privileges, known as most-favored-nation status, should continue.
That is best done by renewing China's trade privileges for another year.
Both the victory point and the trade privilege are lost if another player takes control of the merchant.
Both have opposed extending normal trade privileges to China in the past.
Many business leaders say that using trade privileges to address human rights and arms proliferation will do little to persuade the Chinese to make changes.