A gift basket with a second use
A basket can be part of the present, but its second job needs to be believable.

Start with the empty basket
Imagine the basket after the wrapping and contents have gone. Could it hold cloths on a shelf, a few books beside a chair or small pantry packets? The answer should come from its actual shape and finish, not from the vague idea that baskets are always useful.
A deep narrow basket may hide small items. A low open one is easier to see into but needs more shelf space. Measure the recipient's available space if the basket is intended for a particular place, or choose a modest size that does not demand a new arrangement.
Look closely at the weave
Run a hand carefully over the rim and handles to check for rough projections. A loosely woven container can catch delicate fabric or let small objects fall through. A liner may help with some uses, but it should be removable and appropriate for cleaning.
Do not assume a decorative basket is suitable for direct food contact. Keep edible gifts in their own packaging unless the basket is specifically intended for the purpose. Labels should remain readable, and heavy jars should be separated so they cannot knock together in transit.
Handles are not always designed to carry a full load. Support the base when moving a hamper, particularly if the basket's construction and weight limit are unclear. The wrapping should not hide a weak joint that becomes apparent only when the recipient lifts it.
Avoid filling for the sake of volume
Choose the contents first, then find a basket that holds them comfortably. A small selection can look lost in a large container, leading to unnecessary filler and extra purchases. Folded paper can cushion light objects, but it should not conceal how little the basket contains or make opening messy.
Explain the intended second use only if it is genuinely helpful. A short note saying that the liner can be removed is useful; telling someone exactly where to put the basket is less so. Once given, it may be used differently or passed on.
If no suitable second use comes to mind, a simple box may be the better package. Reusability depends on what happens afterwards, not on the material's appearance in the gift photograph.