I haven’t read Job all the way through in a while, but I don’t recall Satan directly meeting Satan. As I remember it, the story begins with a brief explanation of who Job was, followed by God & Satan discussing him. Depending on how you read it, God either bets Satan that Job will be forever faithful, or directs Satan to test him. Satan then assails Job in various ways (destroying his property, killing his children, and finally afflicting Job with illness), but does not interact with him in a direct or conversational fashion. Job’s wife tells him to curse God and die, and Job refuses; Job then is visited by friends who offer various explanations for his sudden change of fortune; and finally Job and God talk directly, after which God restreos Job’s fortune and family. (In a sense. Even as a Christian, I was bothered by the notion that Job could see having new children as recompense for the murder of his first set.)
This is a marked contrast to the way Satan and Jesus interact. That is definitely a temptation, or rather a series of temptations. Satan and Jesus converse, and Satan tries to appeal to Jesus’s human weaknesses to move him away from his path. That seems a completely different thing that what happened in Job, in which Satan is clearly doing God’s will. In the wilderness, Satan is clearly the enemy of God and Jesus.