Transport of glucose across cell membranes

Hi

I was just wondering whether glucose can be transported across a cell membrane simply by facilitated diffusion (without ATP) via a carrier protein? I know one route by which it enters the cell is the sodium-glucose co-transporter protein which indirectly uses ATP to pump sodium out of the cell to create a diffusion gradient for glucose to passively move in against a concentration gradient. However, I wonder whether this only occurs when glucose needs to move from an area of lower concentration to an area of greater concentration (i.e. against a concentration gradient)? Is there also a situation where glucose moves from an area of high concentration to an area of low concentration down a gradient and so therefore just does this passively using a simple carrier protein without sodium (i.e facilitated diffusion)?

Thank you!

Yes, you are right.

Initially it enters just by facilitated diffusion, only when it is imported against conc gradient is ATP used.