Interpolating beyond the extent of the data points is actually called extrapolation. You should be very weary of doing this with any "interpolation" method, even when it is supported, as it can result in really wacky values for calculated raster points outside the extent of the data points. This is especially true for methods like Spline.
In addition, looking at your dataset as presented by the screenshot you included, which seems to be based on a mere 7 points, the results of any interpolation will be highly speculative. I really think your dataset is far to small for any reliable interpolation, and therefor question whether you should continue with this.