Use clues 1, 2, and 5 to determine which emblem belongs to the Jaimir tribe.
Then you can use clue 3 to determine the Jaimir oasis and the Flandi emblem.
Then use clue 1 and 4 to determine which oasis Flandi uses.
Then use clue 5 to determine which oasis belongs to Alkar and which one belongs to Hruna.
Then use clues 1 and 4 plus the information already in your solution grid to determine the color of the Flandi banner.
Then you can re-use clues 1 and 2 along with the solution grid to determine the color of the Jaimir banner.
At this point, you will have the Flandi and Jaimir sub-puzzles solved, and if you have entered the Xs from all the clues and transposed the Xs from the existing positive relations, the rest of the solution will fall into place.