I was phoned by an HR manager for a position I applied 3 months ago.
Some day after the application, I applied for a similar position promoted by a recruiting company; but after a discussion, the recruiter and I we found out together the propoted position actually was the same position I had already applied for. Even though having already applied by my own stopped the recruiting operator to issue my profile to the company, we had a conversation long enough to understand not only salary range for such position but also that my salary expectations based on experience, skills, position and prestige of the company were weighted very well.
Nevertheless, the HR of the company at the phone made a rough estimation based only on my graduations and years of service (I know because she was "thinking loud") without paying attention to the skills and experience for the role; at the end she estimated a range lower than what the recruiter told me and then also below my expectations. From my side, due to the long time passed from the application and discussion with the recruiting company and without the job description with me, I totally forgot that I matched more than 90 % with that position (e.g. in terms of required skills and affinity with my current role) and then I did not (wrongly) debate the estimation the HR made. However, at the further kind insisting request from the HR to share my salary expectations, I was determined to propose the salary expectation I discussed with the recruiter months ago. The HR took note without commenting. At my question about her pinion on that she said something like she will have to make new calculations before to express an opinion. At the end, she proposed me an interview with the persons involved in such position (which was the original goal of the call).
Doubts: When and how may I make her look at my skills so that she can compare my skills and affinity with the required ones? Should I or it is better to wait for the interview and the steps after?