Is it possible for me to seek a Ph.D. position in the future? Currently, I am a M.S. student in Applied Mathematics division, and I will graduate in the coming Dec, 2014. 
But I want to apply to a PhD. program to continue my study. But I have a complicated situation:


I had a bachelor's degree in software engineering outside US with GPA 3.7. But I'm pursing a M.S. degree in Applied Mathematics in a US college with GPA 3.6, the reason I am doing this is because I want to improve my mathematical background, and prepare for research oriented program in the future. 
My native language is non-English, and my English skills are not that strong. I didn't have a competitive GRE test. 
But I had some research experiences, both in and outside US. And almost all the research is either direct with national research labs or collaborate with them. However, I have no academic publications yet.


Is it possible for me to seek PhD in the future? I would like to go for it, but it seems more and more professors and universities focus on someone with higher scores and better publication record.
Is it possible for me to seek PhD in the future?


Yes. It is possible to seek a PhD at any point in one's life, although at some point you will shift over into the "unconventional student" category.

Some universities/faculty do tend to overlook unconventional students. However, if you keep publishing articles, learning new skills (and demonstrating them), and staying up to date on the research in your field (and demonstrating that you have), then you'll be in a good position to get accepted by the more open-minded universities whenever you decide to apply.