The word "basketed" refers to something that has been placed in a basket. However, there are a number of synonyms that can be used to describe similar actions. For example, items may be "contained" in a basket, "stored" or "arranged" within it. Alternately, they might be "gathered" in a basket, indicating a degree of organization or curation. If the basket is more temporary in nature, items might be "deposited" within it. The language used will depend on the situation, but these synonyms all convey the idea of something being located or arranged within a basket.