PhD position: got rejected - reapply? I applied for a PhD position and I was invited to give a talk about my Master thesis, but I didn't get the position, because: 


Maybe my talk wasn't as good at it could be- I wasn't ready with my thesis then and I made some mistakes. I guess I could work on that.  
My current thesis advisor probably didn't give me good references, although I'm not sure about that. There is nothing I can do about that- try to explain the disagreements I had with him to the committee? No one asked me about that, so I won't get that chance in the future. But I could ask someone else to write a reference letter for me. 


My question is: 


  Should I apply to the institution again (in few months or 1-2 years) when they have another open position? How will it be perceived?  


My main concern is that the application will be reviewed by the same people I talked to, the people who took part in my seminar. Will I be allowed to give another talk on the same topic? 

Also, the person who wrote to me, didn't suggest that I apply there in the future.  

I'm not going to get more experience in research, because I work in a company, but I can have some publicaitons.

Note: 


This is not a duplicate of this question, because I didn't withdraw my application- I was rejected.
This is not a duplicate of this question, because I was invited to the university, I had a talk with the group members and I gave a talk there. My experience isn't a problem, its the general impression, my knowledge (?).
This is not a duplicate of this question - see my explanation for the second question.
If I were in your position, instead of submitting a 'cold' re-application, I would first contact the committee and ask them for advice about what I could do to improve my prospects of being accepted as a PhD student. I have seen people do this a few times, and the strategy receives positive responses from faculty; but of course you will then have to do the work and actually improve on the things they suggest.

Re-applying with exactly the same material will probably not get you anywhere. However, if you get advice from the committee and/or from other people who are experienced in the field about what to improve or what skills/experience to acquire, and if you can demonstrate the results well, it will be noticed.