In Legends they did talk, but they did not reconcile. Anakin approached Leia as a Force Ghost and apologized for what he did to her as Vader. She basically told him to go away.
Darth Vader may have never known Princess Leia was his daughter in Star Wars and never cultivated a relationship with her, even when he was a Force ghost. Anakin Skywalker never knew Padmé was pregnant with twins, and he believed his child had died with his wife.
Leia Organa
His fear eventually led him to fall to the dark side. Due to this, Anakin only met Leia after he became Darth Vader. Vader did not meet his daughter until she was in her late teens. By the time he met her on the Death Star, the encounter with his daughter was a cruel twist of fate.
Anakin Skywalker loved Leia before she was born, until he wasn't able to truly love anyone anymore, and he loved her and her brother in the end, and probably long after that, right up until Luke is a broken exile, and Leia has taken Vader's place as the legendary general who has lost everyone and everything, and who ...
However, Leia's strong-mindedness during Vader's probe denied him the opportunity to discover she was his daughter. That serves to justify Vader's lack of awareness of his connection to Leia, although, perhaps, not as satisfyingly as if Lucas had planned for the relationship from the beginning.
Similarly, her rebellious, rule-breaking and trouble-making nature resembled Anakin more than Padmé. However, both parents were adventurous and stubborn people. Thus far, her leadership skills are the one thing missing from Leia's portrayal in Obi-Wan Kenobi. It's well justified since Leia is still a child.
She later made use of a pale blue weapon and dueled and killed the fallen Hutt Jedi Beldorion with it on Nam Chorios. The third lightsaber Luke gifted her in 18 ABY had a ruby-red blade. Her fourth weapon was a blue-bladed lightsaber that she used throughout the Swarm War and thereafter.
Leia Organa never knew her mother, Padmé Amidala. She thought she could remember Padmé - describing her to her brother Luke as "kind but...sad." But in truth Leia seems to have been confused, instead remembering Padmé's former handmaiden (and doppelgänger) Sabé.
Star Wars is finally exploring Leia's emotional reaction to the revelation Darth Vader was really her father - as her identity is transformed. Star Wars has finally revealed Princess Leia's reaction to learning Darth Vader was her father. Return of the Jedi was one of the defining moments in Leia Organa's life.
However, when they next met in Star Wars: Episode II – Attack of the Clones, Anakin and Padmé's feelings for one another grew into something resembling love, and their wedding at the end of the film solidified their relationship as one of the most important romances in Star Wars history.
Until recently, it was believed that Leia mentioned this because she had never met Obi-Wan before, and that this was the first time she was contacting him. However, as Obi-Wan Kenobi shows and highlights, the two actually met and had a strong bond years before this message was sent.
Leia doesn't get to reunite with Obi-Wan, and instead, just before escaping with Han and Luke, she sees his murder. Of course, Leia doesn't know Darth Vader is her father yet, either in A New Hope and certainly not in Obi-Wan Kenobi.
Senator Padmé Amidala of the planet Naboo became pregnant during the Clone Wars with her husband, Jedi Knight Anakin Skywalker, as the father. She gave birth to twins, Luke Skywalker and Leia Organa.
First, she admitted that she didn't really care about the Force. Thus, if she went with Luke, she would be doing it for the sake of being with Luke, not because she was following the will of the Force. However, more importantly, Leia refused to be a Jedi because Darth Vader's power had scared her.
Anakin, who has since become the Sith Lord Darth Vader, is unaware of his children's birth. The twins soon became part of the Rebel Alliance following the deaths of their adoptive families at the hands of the Empire.
The Little Girl
Long story short, she is Padmé's niece, Pooja Naberrie, and was portrayed by Hayley Mooy. If nothing else, you just learned a fun piece of Star Wars trivia.
The two became close friends, and recruited like-minded allies to prevent Palpatine's alarming grabs for power. At the end of the war, Bail Organa adopted Padmé's daughter Leia and raised her as an Alderaanian princess.
The reason Leia likely remembers Padmé is that she could sense her mother's emotions at the time of the senator's passing. Luke didn't possess the same ability as his sister and inherited their father's Force potential. This links with Luke's desire to follow Anakin's Jedi path.
Theory 1: Leia Doesn't Remember Ben Is Obi-Wan
Throughout her encounters with Kenobi in the series, he refers to himself as Ben. The most straightforward explanation would be that Leia knows the person who rescued her is Ben, and never connected the dots that Ben is actually Obi-Wan.
Description. Leia Organa wielded a blue-color lightsaber during her year of training. Leia Organa's lightsaber was a blue-bladed lightsaber powered by a kyber crystal in the core of the hilt. It was silver and copper in color and featured mother-of-pearl inlays.
Even though Leia was rather advanced for her age, having learned to speak and walk before the age of one, she did not show any signs of Force potential—much to the relief of her adoptive father, who knew that being a Force-sensitive in Palpatine's Empire would be a heavy burden.
Apart from his wife, there's no one Anakin loved more than his own mother, Shmi. Her tragic death in Episode II: Attack of the Clones, was arguably the first step in his turn to the dark side. Anakin wanted to return to Tatooine and free his mother from slavery but once he returned it was too late.
Luke and Leia were born on the asteroid Polis Massa in the year 19 BBY, 19 years before both would play significant roles in the Rebellion's first major step toward defeating the Galactic Empire. That would mean Padmé died at the age of 27. Anakin would have been about 22.
Padmé was born in 46 BBY (Before the Battle of Yavin) and Anakin's miraculous Force-created birth came in 41 BBY, so Padmé is five years older than him. They do not meet until Star Wars: Episode I - The Phantom Menace, which takes place in 32 BBY.