Ask HN: Is there a right time to ask for a raise?

I joined a major international brand almost a year ago. I was relocated to this country and this company from another country.

When I was interviewing with the company I did research online for what the average salary for someone in my role in this country and city is. And I asked for a bit more than that. At the time I really needed to emigrate from my country and therefore I was willing to take almost anything I was able to get. I asked for €XX,000 they gave me €XX,000 - €200

After almost a year, now I found out that the pay grade in this specific company is MUCH higher than in most businesses in the area. I am not facing much of a problem in terms of comfortable living but I found out that I am paid as much or less than grads fresh out of college. It stings every time I walk into the office with that knowledge but it is what it is.

Now I don't want to walk into the situation all emotional. I don't see why the company would offer me €XX,000+€10,000 when I asked for €xx,000. But I do want to resolve this situation and bring myself on par with peers with my level of experience and seniority in the industry.

In the past I have learnt that it is best to ask for a raise just before the regular cycle of performance appraisals - the company can sneak in my raise and not appear like they are budging to someone who asks for a raise and open up a trend with other employees. But that is almost 8 months from now.

Or am I mistaken and I should just ask right away? What's the right way to approach this?