In Confirmatory Factor Analysis (CFA), there's no fixed limit for item deletion. Consider factors like low factor loadings, modification indices, theoretical alignment, overall model fit, and cross-validation results. Aim for a balance between good model fit and maintaining conceptual integrity. When reporting, transparently describe criteria for item deletion, considering statistical, theoretical, and empirical evidence.
In addition to Dr Hassan's answer, you should bear in mind that at least 2 or 3 items should be left on a single construct as guided by theory or you may risk having a single item constrict.