  Over increasing domain interpretations, \exists\Box and \forall\Box bundled
fragments are decidable and over constant domain interpretations, \exists\Box
bundled fragment is decidable while \forall\Box bundled fragment is
undecidable. Based on the existing results,we show that over increasing domain
interpretations, \Box\exists and \Box\forall bundled fragments are decidable as
well. On the other hand, over constant domain interpretations, \Box\forall
bundled fragment is undecidable and \Box\exists^2 bundled fragment, an
extension of \Box\exists bundled fragment, is undecidable neither.
