"Mary was storing her mind with the precious words falling from the Saviour's lips, words that were more precious to her than earth's most costly jewels. DA 525.1"
"And she had a sister called Mary, which also sat at Jesus’ feet, and heard his word."
The EGW passage directly refers to Mary sitting at Jesus' feet and hearing his word, which is the core of Luke 10:39.
"If thou seekest her as silver, and searchest for her as for hid treasures;"
Both passages emphasize the value of wisdom/spiritual knowledge as being more precious than material wealth. The EGW passage specifically mentions Mary valuing Jesus' words above jewels, while Proverbs 2:4 uses the metaphor of searching for hidden treasures to describe seeking wisdom.
"The “one thing” that Martha needed was a calm, devotional spirit, a deeper anxiety for knowledge concerning the future, immortal life, and the graces necessary for spiritual advancement. She needed less anxiety for the things which pass away, and more for those things which endure forever. Jesus would teach His children to seize every opportunity of gaining that knowledge which will make them wise unto salvation. The cause of Christ needs careful, energetic workers. There is a wide field for the Marthas, with their zeal in active religious work. But let them first sit with Mary at the feet of Jesus. Let diligence, promptness, and energy be sanctified by the grace of Christ; then the life will be an unconquerable power for good. DA 525.2"
"But one thing is needful: and Mary hath chosen that good part, which shall not be taken away from her."
EGW's passage elaborates on the 'one thing' that is needful, directly referencing and expanding on the meaning of Luke 10:42.
"Sorrow entered the peaceful home where Jesus had rested. Lazarus was stricken with sudden illness, and his sisters sent to the Saviour, saying, “Lord, behold, he whom Thou lovest is sick.” They saw the violence of the disease that had seized their brother, but they knew that Christ had shown Himself able to heal all manner of diseases. They believed that He would sympathize with them in their distress; therefore they made no urgent demand for His immediate presence, but sent only the confiding message, “He whom Thou lovest is sick.” They thought that He would immediately respond to their message, and be with them as soon as He could reach Bethany. DA 525.3"
"Therefore his sisters sent unto him, saying, Lord, behold, he whom thou lovest is sick."
The EGW passage directly quotes and builds upon John 11:3, making it a clear explicit allusion.