Intervertebral devices

The intervertebral fusion device (200) comprises a superior component (220), an inferior component (240) and a core component (260). The superior and inferior components (220, 240) are received in an intervertebral space between first and second vertebrae whereby the superior component top side abuts against the first vertebra, the inferior component bottom side abuts against the second vertebra, and the superior component bottom side and the inferior component top side oppose each other. A height of the intervertebral fusion device is determined upon insertion of the core component (260) between the superior and inferior components (220, 240). Each of the superior component top side and the inferior component bottom side is one of: oblong having a major axis; and square, being bounded by four edges. During insertion of the core component (260) a first core profile of the core component cooperates with a superior component profile at the superior component bottom side and a second core profile of the core component cooperates with an inferior component profile at the inferior component top side whereby the core component moves in a direction oblique to the major axis where the superior component top side or the inferior component bottom side is oblong or to an edge of the superior component top side or the inferior component bottom side where the superior component top side or the inferior component bottom side is square.