Texas Sen. Ted Cruz says the arrests of two men suspected of being terrorists calls for a retroactive review of all refugees who have come to the United States from what he calls "high-risk countries."

The Republican presidential candidate reacted Thursday to the arrest in Texas of a man from Iraq accused of providing support to extremists and a man in California accused of traveling to Syria to fight, then lying to investigators.

Cruz says the review should include examining the public record, communications, statements and actions refugees have made and "all of the evidence that might indicate whether these individuals have ties to radical Islamic terrorists."

Reacting to the arrests following a campaign stop in Iowa, Cruz said the arrests underscore the need to suspend President Barack Obama's plan to accept Syrian refugees, which Cruz has opposed.