California Code, Code of Civil Procedure - CCP § 1710.50

(1) An appeal from the sister state judgment is pending or may be taken in the state which originally rendered the judgment. Under this paragraph, enforcement shall be stayed until the proceedings on appeal have been concluded or the time for appeal has expired.

(2) A stay of enforcement of the sister state judgment has been granted in the sister state. Under this paragraph, enforcement shall be stayed until the sister state stay of enforcement expires or is vacated.

(3) The judgment debtor has made a motion to vacate pursuant to Section 1710.40. Under this paragraph, enforcement shall be stayed until the judgment debtor's motion to vacate is determined.

(4) A money judgment or lien on real property was obtained against a person or entity for exercising a right guaranteed under the United States Constitution or a right guaranteed under the California Constitution, or against a person or entity for aiding and abetting the exercise of said rights. The stay of enforcement shall remain in place until such time as the statute of limitations in Section 1798.303 of the Civil Code has elapsed or an action prosecuted under Section 1798.303 has concluded, whichever is later.

(5) Any other circumstance exists where the interests of justice require a stay of enforcement.

(1) The court may require an undertaking in an amount it determines to be just, but the amount of the undertaking shall not exceed double the amount of the judgment creditor's claim.

(2) If a writ of execution has been issued, the court may order that it remain in effect.

(3) If property of the judgment debtor has been levied upon under a writ of execution, the court may order the levying officer to retain possession of the property capable of physical possession and to maintain the levy on other property.