I read from Scripture that eternal life (salvation) is only for whosoever from among this world believe by grace through faith, the gift (salvation) that comes from God. Read in context. Hebrews 2:9-13 shows us that Jesus brings many, not all sons unto glory, and they are the children given Him from God. To taste death for every man is not all inclusive, but is to the many whom God has given Him, from throughout the whole world.
Hebrews 2:9-13 (KJV) But we see Jesus, who was made a little lower than the angels for the suffering of death, crowned with glory and honour; that he by the grace of God should taste death for every man. For it became him, for whom are all things, and by whom are all things, in bringing many sons unto glory, to make the captain of their salvation perfect through sufferings. For both he that sanctifieth and they who are sanctified are all of one: for which cause he is not ashamed to call them brethren, Saying, I will declare thy name unto my brethren, in the midst of the church will I sing praise unto thee. And again, I will put my trust in him. And again, Behold I and the children which God hath given me.