Funny you ask this question, as I'm currently writing a book on the subject.
First, one must clarify if you are talking about science or evolutionism. Science is often imperfect, but still a very interesting subject. Evolutionism is not science, but a repeatedly disproven hypothesis (even the title 'theory' is inaccurate, though they continue to use it) that is ultimately a religion.
Want proof? I've heard it said that the mark of religion is that people are willing to kill and/or die for religion.
Hitler was a follower of evolutionism and believed that the Arians were more highly evolved, and therefore, other 'lesser evolved' peoples should be eliminated for the betterment of mankind. Survival of the fittest. So he killed millions of people who he believed were 'lesser evolved.' Many other tragic events have been rooted in the dangerous ideology of evolutionism.
Even some evolutionist scientists have admitted that the only real reason they accept evolutionism is because it excuse them from believing in a God who owns the world and made rules about how we should live. Evolutionism says you are your own 'god' and can make your own rules. The Bible says God makes the rules and has the power to judge the world.
So, about your question.
No, there is no reconciliation or compromise for the pagan religion of evolutionism which teaches that the strong ought to kill the weak and the Good News of the Gospel.
Yes, science and the Bible can get along very well, when it is true science. In fact, some scientific discoveries have been made with the help of the Bible. Many of the great scientists and inventors were devote Christians. Evolution can't claim so much.
If you would like to look into some of the scientists who are proving that science really does agree with the Bible over evolution, I'd recommend Ken Ham at Answers in Genesis and Dr. Kent Hovind. Warning, Dr. Dino (Kent Hovind) is... not the most polite in regards to people who disagree with him, but he really explains a lot of the Creation science stuff.
As for the conflicts of compromising theories attempting to blend Christianity and evolutionism, I'm currently writing a book about the implications of that. Yes, I believe that is a huge problem.
Some of the theories do sound very intriguing and often use fascinating Scriptures to sound believable, but they really go wacko when you start to compare them to key Christian doctrine.
It is really frustrating how the TV and everything else keeps screaming 'millions and billions of years ago' even when it has been disproven over and over again. Indeed, it has put Christians in a very difficult place to combat such lies. Some people are trying to get that nonsense out of schools and such, but it is hard to fight against such a powerful and deeply rooted religion. Thus, there are main people who are struggling with the issue.