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How long can a Samsung refrigerator temperature display blink while cooling?

Quick answer

Use 4 hours as the starting point.
While recovering from a warm condition

Start a reminder timer

4 hours

Timer has not started.

When it rings: The display should stop blinking when the compartment cools below its alert threshold.

What the source actually says

Samsung says cooling can take up to four hours in this situation.

Move perishable food if the refrigerator remains too warm.

Source

Read the manufacturer guidance. Model instructions override this general page.