Dear Jinio,
how I understand it: Framework approach is used when every interview is done in a (semi)structured way, in the end all interviews are collected and analysed. Thus you do your semi-structured interview, the next interview you do the same way, etc. In the end you have several interviews having more or less the same structure. The framework approach addresses this in a structured way. This is quick and quite reliable, yet may lack the in depth information from "Grounded Theory" analysis.
"Grounded Theory" analyis is based on an iterative process, whereby after every interview you analyse, this provides you with new issues, which are addressed in the next interview etc. etc.