Abstract: The invention discloses an apparatus (40) comprising: a setting section (1) surrounded by a first sleeve (2), said first sleeve being expandable and impermeable to a material; an inflating means (1a, 3a) for inflating said first sleeve, said inflating means ensuring that the first sleeve can be in contact with a first zone (60a) of a tube (10) which is permeable to said material, so that said first zone of said tube becomes impermeable to said material; and further comprising a second sleeve portion (4) partially permeable to said material on a second zone (60A?) and attached to said first sleeve so that: a path (2a) is provided between said first sleeve and said second sleeve portion and so that, when the first sleeve is inflated the second zone can be in contact with said tube allowing the material to flow in the path and through the second zone. Also, the invention discloses the associated method for treatment of a near zone and/or a far zone of a well with the disclosed apparatus.