Sony has published a troubleshooting guide for users experiencing problems with the new PlayStation 4.
Some users have complained about a blue light continuously flashing on their consoles, affecting its operation.
Sony said this could be triggered by various issues, including a problem with the PS4's power supply, hard drive or hardware or TV compatibility.
The PS4 is Sony's latest gaming console. It sold more than one million units within 24 hours of its US launch.
The company said the number of systems affected by the issue represented less than 0.4% of units shipped to date.
"This is within our expectations for a new product introduction, and the vast majority of PS4 feedback has been overwhelmingly positive," Sony said in a statement.
Some of the users highlighted the issues on Sony's US PlayStation forum.
"My PS4 turns on, blinks blue, turns white and won't connect to my TV," posted a user by the name of Newender.
Another user, Juggalugalotus, said: "Mine just blinks blue and I don't get any audio or video. Tried all four of my HDMI cables and checked all of the settings on the TV. Nothing.
"Basically we bought a $400 [£250] paperweight."
Sony said it was "closely monitoring for additional reports, but we think these are isolated incidents".
According to Sony, some of the problems associated with the blinking of the blue light could include no audio or video output to the TV and the console powering off.
The company has recommended that users facing such issues turn off the console completely by pressing the power button for seven seconds.
It has also advised users to make sure that the hard drive "is properly seated" in its bay, saying a loose connection can prevent the console from powering on completely.